The generator matrix

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

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+53x^32+126x^33+225x^34+278x^35+373x^36+480x^37+459x^38+550x^39+574x^40+610x^41+659x^42+624x^43+653x^44+602x^45+511x^46+412x^47+343x^48+272x^49+168x^50+114x^51+50x^52+22x^53+26x^54+6x^55+1x^72

The gray image is a linear code over GF(2) with n=84, k=13 and d=32.
This code was found by Heurico 1.16 in 5.1 seconds.