The generator matrix

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

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+106x^30+158x^31+434x^32+480x^33+807x^34+968x^35+1353x^36+1438x^37+1771x^38+2242x^39+2274x^40+2856x^41+2614x^42+2802x^43+2547x^44+2436x^45+2000x^46+1610x^47+1264x^48+824x^49+739x^50+372x^51+287x^52+142x^53+139x^54+38x^55+26x^56+16x^57+16x^58+2x^59+5x^60+1x^64

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 97.1 seconds.