The generator matrix

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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+196x^42+522x^44+808x^46+947x^48+1104x^50+1116x^52+1089x^54+953x^56+685x^58+483x^60+211x^62+71x^64+3x^66+2x^68+1x^84

The gray image is a linear code over GF(2) with n=104, k=13 and d=42.
This code was found by Heurico 1.10 in 2.3 seconds.