The generator matrix

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

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+166x^30+426x^32+516x^34+646x^36+640x^38+602x^40+512x^42+394x^44+146x^46+42x^48+4x^50+1x^64

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 1.1 seconds.