The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+58x^31+163x^32+288x^33+369x^34+500x^35+627x^36+832x^37+1015x^38+1076x^39+1223x^40+1222x^41+1404x^42+1428x^43+1276x^44+1228x^45+936x^46+798x^47+665x^48+440x^49+331x^50+216x^51+129x^52+84x^53+41x^54+20x^55+11x^56+2x^57+1x^64

The gray image is a linear code over GF(2) with n=84, k=14 and d=31.
This code was found by Heurico 1.16 in 38.5 seconds.