The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  1  0  1  1  0  0  1  X  1  1  0  1  0  1  X  1  0  1  1  1  1
 0  1  1  0  1  1  0  1  1  X X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  1  X  1  0 X+1  1  0  1  0  1 X+1  1 X+1  1  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  0  0  0  X  X  X  X  X  X  0  X  0  X  X  0  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  X  X  0  X  X  X  X  0  0  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  0  X  X  X  0  X  X  0  X  0  X  0  0  0  0  X  0  0  X  X  X  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  0  X  X  X  X  0  0  X  0  X  X  X  X  0  X  0  0  0  X  X
 0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  X  0  0  X  0  X  0  X  X  0  0  X  X  X  X  0  X  X
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  0  X  0  X  X  0  X  X  X  X  0  0  0  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  X  0  0  X  X  0  X  X  X  0  X  0  X  0  0  0  0  0  X  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+74x^28+60x^30+261x^32+240x^34+431x^36+312x^38+341x^40+144x^42+128x^44+12x^46+36x^48+7x^52+1x^56

The gray image is a linear code over GF(2) with n=74, k=11 and d=28.
This code was found by Heurico 1.16 in 0.307 seconds.