The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 0 0 1 X 1 1 1 1 1 X X 1 X 1 X X X 0 X 1 X 0 1 0
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 1 X X 1 0 X 1 X+1 X 1 X 1 1 1 X X 1 1 X+1 1
0 0 1 0 0 0 0 0 X X 1 1 1 X 1 X+1 X+1 X+1 X X+1 1 0 X+1 1 X X 1 1 0 1 1 0 0 X X+1 X X+1 X
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X 1 1 1 X X 1 X+1 1 0 X+1 0 1 X+1 0 1 X X 1 1 X+1 X+1 X+1 X
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 X X+1 X+1 0 X+1 1 X+1 X 0 1 0 X 0 0 X 0 X X+1 1 0 1 0 0 X
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 0 0 0 0 X+1 X X X+1 1 X+1 1 0 1 X X+1 X 0 X+1 0 X 1 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+156x^30+431x^32+550x^34+616x^36+594x^38+678x^40+514x^42+344x^44+162x^46+41x^48+8x^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 1.10 in 0.406 seconds.