The generator matrix

1 0 1 0 1 X 1 X X 1 X 1 X 1 X X 1 0 1 0 X 1 1 X 0 0 1 0 1 1 1 1 X 1 X 1 0 1
0 1 0 1 X+1 0 X+1 X 0 1 1 X 1 X+1 1 0 X 1 X+1 0 1 1 X 0 1 0 X 1 1 X+1 1 0 X 0 0 X+1 1 0
X X 1 1 X 0 1 1 X X+1 X+1 1 X 0 X+1 1 0 X+1 0 0 0 X+1 X 1 0 0 X+1 X 0 0 1 1 1 1 1 X+1 1 0
X X X X 0 0 X X 1 X+1 X+1 1 1 X X 0 X X+1 X+1 1 1 1 1 X X+1 1 1 1 X+1 X X X X 0 X+1 X X+1 0
X 0 0 0 X+1 1 1 1 0 X X+1 X+1 1 X+1 X 1 X 1 0 0 X+1 0 X+1 0 X X+1 0 0 1 X X 1 X 1 X 1 1 0
X X X X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X 0 X X 0 0 X X X X X 0 X 0 X 0 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+33x^30+58x^31+109x^32+152x^33+134x^34+162x^35+171x^36+156x^37+164x^38+162x^39+147x^40+136x^41+121x^42+110x^43+73x^44+60x^45+54x^46+20x^47+11x^48+8x^49+5x^50+1x^54

The gray image is a linear code over GF(2) with n=76, k=11 and d=30.
This code was found by an older version of Heurico in 0 seconds.