The generator matrix

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

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+143x^30+282x^32+308x^34+316x^36+326x^38+286x^40+192x^42+124x^44+51x^46+15x^48+4x^50

The gray image is a linear code over GF(2) with n=74, k=11 and d=30.
This code was found by Heurico 1.16 in 0.277 seconds.