The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+85x^30+66x^31+223x^32+212x^33+356x^34+412x^35+607x^36+768x^37+908x^38+1162x^39+1199x^40+1408x^41+1357x^42+1496x^43+1281x^44+1264x^45+997x^46+774x^47+570x^48+388x^49+310x^50+172x^51+174x^52+48x^53+74x^54+14x^55+39x^56+8x^57+9x^58+1x^60+1x^68

The gray image is a linear code over GF(2) with n=84, k=14 and d=30.
This code was found by Heurico 1.16 in 53.1 seconds.