The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+11x^38+24x^39+23x^40+26x^41+15x^42+6x^43+6x^44+6x^45+5x^46+2x^47+2x^48+1x^66

The gray image is a linear code over GF(2) with n=82, k=7 and d=38.
This code was found by Heurico 1.10 in 0 seconds.