The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  1  1  0  1  1  X  1  1  X  X  1  1  1  0  1  0  0  0  1  X  X  X  0  0  1  X  X  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  1  1 X+1  1  1  1  1  1  1  1  1  X X+1  1  1 X+1  0  X  0
 0  0  1  0  0  0  0  0  0  0  0  0  1  X  1  1  1  1 X+1  1  1  0  0 X+1  X  0  X  1  1  X  0 X+1 X+1 X+1  X  0  0  X  X  1  0  0
 0  0  0  1  0  0  0  0  1  1  1  0  1  1  X X+1 X+1  1  1  0  1 X+1  1  1 X+1 X+1  1  X  X  0 X+1  1  1  X  1  0  X  0 X+1 X+1  1  0
 0  0  0  0  1  0  0  0  1  X X+1  1 X+1  1  X  X X+1  X  X X+1  1  X  0  X  1 X+1  X  1  X  X  0  0  0  1  X  X  0 X+1  1  0  1  0
 0  0  0  0  0  1  0  1  0  1 X+1 X+1  0 X+1  X X+1  X X+1  0  0 X+1 X+1  X  0  X  X  1 X+1 X+1  0  0  0  0 X+1  0  X X+1  X  0  X X+1  0
 0  0  0  0  0  0  1  1 X+1  0  1  X  X  0  0 X+1 X+1  X  1 X+1  X  1  X  1 X+1  0  X  1 X+1  0  1  X X+1  X  1 X+1  0  1 X+1 X+1  X  0
 0  0  0  0  0  0  0  X  X  0  0  0  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  X  0  X  0  0  X  0  X  X  X  0  X  X  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+100x^30+156x^31+353x^32+482x^33+704x^34+936x^35+1242x^36+1506x^37+1842x^38+2284x^39+2557x^40+2698x^41+2687x^42+2842x^43+2579x^44+2516x^45+2036x^46+1556x^47+1272x^48+854x^49+578x^50+364x^51+272x^52+122x^53+110x^54+52x^55+41x^56+14x^57+7x^58+2x^59+3x^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 1.11 in 29.9 seconds.