The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+69x^32+100x^33+194x^34+290x^35+383x^36+466x^37+515x^38+560x^39+617x^40+588x^41+598x^42+676x^43+540x^44+640x^45+538x^46+424x^47+370x^48+224x^49+184x^50+90x^51+61x^52+30x^53+17x^54+8x^55+7x^56+2x^62

The gray image is a linear code over GF(2) with n=84, k=13 and d=32.
This code was found by Heurico 1.10 in 1.69 seconds.