The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+66x^31+185x^32+238x^33+390x^34+522x^35+636x^36+790x^37+979x^38+1100x^39+1155x^40+1324x^41+1379x^42+1426x^43+1348x^44+1182x^45+978x^46+760x^47+616x^48+488x^49+333x^50+204x^51+136x^52+68x^53+35x^54+18x^55+19x^56+6x^57+1x^58+1x^66

The gray image is a linear code over GF(2) with n=84, k=14 and d=31.
This code was found by Heurico 1.10 in 6.28 seconds.