The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+88x^29+171x^30+212x^31+240x^32+268x^33+305x^34+294x^35+312x^36+318x^37+299x^38+314x^39+335x^40+274x^41+219x^42+186x^43+131x^44+74x^45+30x^46+18x^47+4x^48+2x^49+1x^68

The gray image is a linear code over GF(2) with n=74, k=12 and d=29.
This code was found by Heurico 1.16 in 31.7 seconds.