The generator matrix

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

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+47x^30+60x^31+105x^32+120x^33+139x^34+156x^35+166x^36+184x^37+156x^38+164x^39+138x^40+168x^41+124x^42+116x^43+78x^44+40x^45+29x^46+16x^47+20x^48+17x^50+4x^52

The gray image is a linear code over GF(2) with n=76, k=11 and d=30.
This code was found by Heurico 1.16 in 0.286 seconds.