The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 0 0 1 X 1 1 1 1 1 X X 1 X 1 X X 1 1 1 X 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 1 X X 1 0 X 1 X+1 X 1 X 1 1 1 0 1 X 0 1
0 0 1 0 0 0 0 0 X X 1 1 1 X 1 X+1 X+1 X+1 X X+1 1 0 X+1 1 X X 1 1 0 1 X 1 X X+1 0 1 X+1
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X 1 1 1 X X 1 X+1 1 0 X+1 0 1 X+1 0 1 X+1 1 X+1 0 1 1 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 X X+1 X+1 0 X+1 1 X+1 X 0 1 0 X 0 0 X 0 0 1 1 X+1 X X+1 X+1
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 0 0 0 0 X+1 X X X+1 1 X+1 1 0 1 X X+1 1 1 X+1 X X 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+84x^29+167x^30+210x^31+244x^32+262x^33+294x^34+334x^35+328x^36+292x^37+332x^38+306x^39+294x^40+296x^41+202x^42+154x^43+149x^44+88x^45+29x^46+20x^47+5x^48+2x^49+2x^52+1x^60

The gray image is a linear code over GF(2) with n=74, k=12 and d=29.
This code was found by Heurico 1.10 in 3.33 seconds.