The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+8x^29+122x^30+214x^31+325x^32+536x^33+723x^34+1002x^35+1250x^36+1454x^37+1862x^38+2276x^39+2400x^40+2648x^41+2799x^42+2772x^43+2599x^44+2240x^45+1985x^46+1642x^47+1294x^48+868x^49+613x^50+462x^51+284x^52+170x^53+84x^54+76x^55+36x^56+12x^57+1x^58+4x^59+3x^60+3x^62

The gray image is a linear code over GF(2) with n=84, k=15 and d=29.
This code was found by Heurico 1.16 in 69.5 seconds.