I'm unaware of what you're talking about, can you link it please?
Jesus also broke the Sabbath without blame which means he had a moral reason to break it that meant he was not guilty of anything.
So yes, Christ and his disciples broke the Sabbath in multiple ways:
Traveling is forbidden on the Sabbath (Exodus 16:29), gathering is forbidden (Numbers 15:36), and not having enough food for two days is required so gathering food is two ways to break the Sabbath (Exodus 16:22) so that's three.
Mat 12:1 At that time Jesus went on the sabbath day through the corn; and his disciples were an hungred, and began to pluck the ears of corn, and to eat.
Mat 12:2 But when the Pharisees saw it, they said unto him, Behold, thy disciples do that which is not lawful to do upon the sabbath day.
Mat 12:3 But he said unto them, Have ye not read what David did, when he was an hungred, and they that were with him;
Mat 12:4 How he entered into the house of God, and did eat the shewbread, which was not lawful for him to eat, neither for them which were with him, but only for the priests?
Mat 12:5 Or have ye not read in the law, how that on the sabbath days the priests in the temple profane the sabbath, and are blameless?
Mat 12:6 But I say unto you, That in this place is one greater than the temple.
Mat 12:7 But if ye had known what this meaneth, I will have mercy, and not sacrifice, ye would not have condemned the guiltless.
Mat 12:8 For the Son of man is Lord even of the sabbath day.
Jesus did break the Sabbath but he did so without blame. Christ gave two other examples of the Sabbath being broken without it being sinful as a further defense. He also is the Lord of the Sabbath and the Sabbath laws don't even apply to him anyways so he could break the Sabbath without it being sinful.
Exo 16:29 See, for that the LORD hath given you the sabbath, therefore he giveth you on the sixth day the bread of two days; abide ye every man in his place, let no man go out of his place on the seventh day.
The command is to remain in your place and not leave. If you travel somewhere for personal reasons you are breaking this command.
Num 15:32 And while the children of Israel were in the wilderness, they found a man that gathered sticks upon the sabbath day.
Num 15:33 And they that found him gathering sticks brought him unto Moses and Aaron, and unto all the congregation.
Num 15:34 And they put him in ward, because it was not declared what should be done to him.
Num 15:35 And the LORD said unto Moses, The man shall be surely put to death: all the congregation shall stone him with stones without the camp.
Num 15:36 And all the congregation brought him without the camp, and stoned him with stones, and he died; as the LORD commanded Moses.
Gathering on the Sabbath is not allowed, whether it's sticks or food/grains.
Exo 16:22 And it came to pass, that on the sixth day they gathered twice as much bread, two omers for one man: and all the rulers of the congregation came and told Moses.
It is not allowed to gather any food on the Sabbath because it was commanded to gather double the day before.
All these three commands were broken by Christ and his disciples, yet without blame or sin.
I was talking about the sabbath being relevant today. You keep referring to one where you say Jesus is permitted to sin, but I'm unaware of such a passage.
No, I didn't say Jesus sinned. You are the only one that has said that in various postings. It's a false conclusion.