The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+48x^25+123x^26+322x^27+450x^28+622x^29+914x^30+1136x^31+1588x^32+1904x^33+2230x^34+2604x^35+2826x^36+3000x^37+2831x^38+2664x^39+2470x^40+2008x^41+1587x^42+1218x^43+830x^44+550x^45+348x^46+216x^47+141x^48+56x^49+28x^50+32x^51+14x^52+4x^53+3x^54

The gray image is a linear code over GF(2) with n=74, k=15 and d=25.
This code was found by Heurico 1.11 in 22.3 seconds.