The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  0  1  1  1  1  0  0  X  0  1  0  1  1  1  1  1  0  0  X  1  X
 0  1  1  0  1  1  0  1  1  0 X+1  1  X X+1  1 X+1  1  0  0 X+1  X  1  1  1  1 X+1  1  0 X+1  0  0 X+1  1  0  X  X  X
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  0  X  X  X  X  0  0  X  X  0  0  X  X  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  0  X  X  X  0  0  X  X  0  0  0  X  0  X  X  X  X  0  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  0  X  0  X  X  0  X  0  X  0  0  X  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  X  0  0  X  X  0  X  0  0  X  0  X  0  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  X  0  X  X  0  X  X  X  0  X  0  0  0  0  0  X  X  X  X  0  X  0  X
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  0  0  0  0  0  X  0  X  0  0  X  X  0  X  X
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  X  0  0  X  0  0  0  X  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+179x^28+142x^30+517x^32+456x^34+778x^36+628x^38+726x^40+264x^42+287x^44+46x^46+67x^48+4x^52+1x^64

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 5.09 seconds.