Binary (13,12)-code with minimal distance 2 

[1000000000001]
[0100000000001]
[0010000000001]
[0001000000001]
[0000100000001]
[0000010000001]
[0000001000001]
[0000000100001]
[0000000010001]
[0000000001001]
[0000000000101]
[0000000000011]