The generator matrix

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

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+30x^25+122x^26+224x^27+433x^28+614x^29+871x^30+1184x^31+1528x^32+1842x^33+2309x^34+2620x^35+2882x^36+3158x^37+2928x^38+2816x^39+2390x^40+2002x^41+1604x^42+1144x^43+821x^44+482x^45+311x^46+192x^47+129x^48+62x^49+45x^50+12x^51+8x^52+2x^53+2x^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 1.16 in 53.4 seconds.