The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  1  1  1  1  X  0  1  1  X  X  X  1  X  1  1  X  X  1  X  1  0  1  0
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  X X+1  1 X+1  X  X  1  0  1  X  0  X X+1  1  1 X+1  1  0  1  1  X  1 X+1  1
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  0  0 X+1 X+1  1  1  X  1  0  0  1  X  1  X  X  1  1  1  0  1  1  X  X  0
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1  0 X+1  1  X X+1  X  0  X  X  0  1  1 X+1 X+1  1  X  0  X X+1  X  0 X+1  X  X
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  1 X+1  X  1 X+1  1 X+1  0  1  1 X+1  0  1  0  0  1  0  1  1  0  X X+1  X  1
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  0  0  0  X  X  X  X  0  X  X  0  0  X  0  0  X  0  0  X  X
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  0  X  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  X  0  0  0  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+90x^29+166x^30+224x^31+240x^32+254x^33+317x^34+276x^35+304x^36+328x^37+322x^38+324x^39+298x^40+272x^41+242x^42+188x^43+112x^44+78x^45+40x^46+12x^47+5x^48+2x^49+1x^66

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 44.9 seconds.