The generator matrix

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

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+48x^31+168x^32+274x^33+425x^34+520x^35+644x^36+786x^37+900x^38+1108x^39+1225x^40+1282x^41+1389x^42+1390x^43+1254x^44+1224x^45+1068x^46+812x^47+651x^48+458x^49+271x^50+200x^51+132x^52+70x^53+32x^54+16x^55+19x^56+2x^57+11x^58+2x^59+2x^60

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 36.8 seconds.