The generator matrix

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

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+179x^30+380x^32+580x^34+570x^36+680x^38+622x^40+584x^42+284x^44+139x^46+61x^48+12x^50+2x^52+2x^54

The gray image is a linear code over GF(2) with n=76, k=12 and d=30.
This code was found by Heurico 1.16 in 1.14 seconds.