The generator matrix

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

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+150x^62+337x^64+479x^66+489x^68+494x^70+439x^72+389x^74+419x^76+313x^78+265x^80+184x^82+80x^84+39x^86+18x^88

The gray image is a linear code over GF(2) with n=144, k=12 and d=62.
This code was found by Heurico 1.16 in 2.64 seconds.