The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+70x^29+186x^30+378x^31+703x^32+880x^33+1353x^34+1722x^35+2389x^36+3132x^37+3849x^38+4522x^39+4944x^40+5486x^41+5680x^42+5760x^43+5322x^44+4774x^45+3752x^46+3110x^47+2516x^48+1732x^49+1221x^50+786x^51+585x^52+280x^53+197x^54+102x^55+52x^56+30x^57+18x^58+4x^59

The gray image is a linear code over GF(2) with n=84, k=16 and d=29.
This code was found by Heurico 1.11 in 116 seconds.