The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+40x^37+66x^38+68x^39+57x^40+52x^41+47x^42+30x^43+33x^44+10x^45+17x^46+16x^47+14x^48+24x^49+11x^50+14x^51+7x^52+2x^53+1x^54+2x^58

The gray image is a linear code over GF(2) with n=84, k=9 and d=37.
This code was found by Heurico 1.10 in 0 seconds.