The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  1  1  1  1  1  1  1  1  X  0  X  X  X  0  0  0  0  1  1  1  0  1  0  1  0  X  1  1
 0  1  0  0  0  0  0  0  0  1 X+1  1  1  X  1 X+1 X+1 X+1  X  0  1  0  1  0  1  X  1  0  1  1  1  X  1  X  X  1  1  X  1  1  1  0
 0  0  1  0  0  0  1  1  1  1  1  0  0  0  1  X  X X+1  0  1  X  1 X+1  0  0  1  1  1 X+1  0 X+1 X+1  1 X+1  0  X  1 X+1  X X+1  X  1
 0  0  0  1  0  1  1  0  1  0  0  1 X+1  X  1  X  1 X+1  1  1  0  X  1  1  0  0  0 X+1  1 X+1  X  X  0  0  1  X  1 X+1  X  0 X+1  1
 0  0  0  0  1  1  0  1  1  0  1  0  X  1 X+1  0 X+1  0  X X+1  1  0  0  1  1 X+1  0  0  1 X+1 X+1  X  X X+1  X  1  X  1 X+1 X+1  1  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  0  X  0  X  X  X  0  0  X  X  0  0  0  X  X  X  0  X  0  0  0  X  0  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  0  X  0  X  X  0  X  0  X  0  X
 0  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  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  X  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  X  X  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  X  0  X  X  0  X  0  0  0  X  X  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  X  X  0  0  X  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+90x^30+152x^31+359x^32+510x^33+717x^34+918x^35+1204x^36+1490x^37+1935x^38+2268x^39+2475x^40+2764x^41+2660x^42+2822x^43+2627x^44+2420x^45+2080x^46+1600x^47+1218x^48+902x^49+589x^50+386x^51+274x^52+90x^53+103x^54+44x^55+27x^56+16x^57+18x^58+2x^59+7x^60

The gray image is a linear code over GF(2) with n=84, k=15 and d=30.
This code was found by Heurico 1.16 in 66.9 seconds.