The generator matrix

1 0 0 0 0 0 1 1 1 1 0 0 X 1 1 1 1 0 1 1 1 X 1 1 1 0 X X 0 0 0 X 1 1 0 1 1 1 0 1 X 1 0 0 X 1 X 0 X 1 1 1 1 1 0 1 0 X 1 X 1 X X 0 1 0 1 1 X 0 0 0
0 1 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X X X 0 X X 0 0 0 0 0 X 1 1 X+1 X+1 1 X+1 1 1 1 X+1 1 1 1 1 1 1 X 1 1 X+1 X X X+1 1 1 1 X 1 1 1 1 0 X X X X 1 X 0 1 1 1
0 0 1 0 0 0 0 0 0 X X X X 0 0 1 X+1 1 X+1 X+1 X+1 1 1 1 1 1 X 1 1 1 1 0 0 1 1 X 1 1 X 0 1 X X+1 X+1 X X 1 1 1 1 X+1 0 X 0 X+1 X 0 X+1 1 X 0 1 1 1 X 1 0 1 1 X+1 1 1
0 0 0 1 0 0 0 1 X 1 1 1 X X+1 X+1 0 X+1 X X 1 X X+1 X+1 X+1 X 1 1 1 X 0 1 X+1 X 1 X X 1 0 0 X+1 X+1 X X 1 0 X+1 X+1 X+1 0 X+1 X+1 X+1 X+1 1 0 X+1 0 0 0 X 0 0 1 0 1 0 X 0 X+1 X+1 X 1
0 0 0 0 1 0 1 X 0 1 X 1 1 1 X X+1 0 X+1 X X+1 0 X+1 X+1 0 1 1 X+1 X X X+1 X X+1 X X+1 0 X X X X+1 1 X+1 1 X+1 0 0 0 X+1 1 1 X X X+1 0 1 X 0 1 1 1 0 1 1 1 0 0 1 X X+1 0 1 X+1 X+1
0 0 0 0 0 1 X 0 1 1 X+1 X+1 X+1 0 X+1 X+1 X+1 0 X+1 X 0 1 1 X X 0 0 X+1 X+1 X+1 X X+1 X 1 1 X+1 X+1 1 0 1 X 1 1 X+1 0 1 X+1 X+1 X X 0 X 0 0 0 X+1 X+1 1 X+1 1 1 X+1 X+1 0 X+1 X 1 0 X+1 1 1 1

generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+144x^62+344x^64+454x^66+514x^68+498x^70+437x^72+412x^74+372x^76+368x^78+255x^80+138x^82+102x^84+30x^86+19x^88+4x^90+4x^92

The gray image is a linear code over GF(2) with n=144, k=12 and d=62.
This code was found by Heurico 1.10 in 0.922 seconds.