The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  0  X  1  1  1  0  1  1  0  0  0  0  0  0  1  1  1  1  0  1  0  0  1  X  X  1
 0  1  0  0  0  1  1  1  0  0 X+1 X+1  1  0  1  X  0  0  X  X X+1  1  1  0  1  X  1  1  X  X  1  1  X  1  0  0  1  X  0  X  X  0
 0  0  1  0  1  1  0  1  0  1  1  0  0  1  1  1  1  1  X  1  0  0  X  0  X  0 X+1 X+1  1  X  X  1 X+1 X+1  1  X  X  1 X+1  1  X  0
 0  0  0  1  1  0  1  1  1  0  1  0  1  1  0  0  X X+1  1 X+1  X  0 X+1  0  1  1 X+1  1  0  1  0  X  1  X  0 X+1  X  0  0  1  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  X  0  0  X  X  0  0  0  X  X  X  0  0  X  0  X  0  X  0  X  X  0  X  0  0  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  X  0  X  0  X  X  0  0  X  0  X  0  X  X  X  0  X  0  X  X  X  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  X  0  X  X  0  X  X  X  X  0  X  X  X  X  0  0  0  0  0  X  0  X  0  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  0  X  0  0  0  X  0  0  X  0  0  X  X  X  0  0  0  0  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  0  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+68x^30+74x^31+180x^32+242x^33+367x^34+474x^35+601x^36+784x^37+916x^38+1106x^39+1249x^40+1342x^41+1383x^42+1428x^43+1295x^44+1226x^45+956x^46+798x^47+619x^48+446x^49+325x^50+194x^51+119x^52+52x^53+76x^54+22x^55+31x^56+2x^57+5x^58+1x^60+2x^61

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 34.4 seconds.