The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+46x^30+148x^32+169x^34+166x^36+158x^38+154x^40+122x^42+32x^44+10x^46+9x^48+5x^50+2x^52+2x^54

The gray image is a linear code over GF(2) with n=74, k=10 and d=30.
This code was found by Heurico 1.16 in 0.114 seconds.