The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+61x^28+74x^29+142x^30+208x^31+245x^32+238x^33+285x^34+324x^35+284x^36+352x^37+310x^38+316x^39+312x^40+304x^41+210x^42+156x^43+109x^44+54x^45+66x^46+20x^47+10x^48+2x^49+9x^50+2x^52+2x^54

The gray image is a linear code over GF(2) with n=74, k=12 and d=28.
This code was found by Heurico 1.16 in 1.02 seconds.