The generator matrix

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

generates a code of length 37 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+260x^26+861x^28+1776x^30+3111x^32+4457x^34+5735x^36+5787x^38+5065x^40+3094x^42+1616x^44+670x^46+238x^48+77x^50+11x^52+7x^54+1x^56+1x^60

The gray image is a linear code over GF(2) with n=74, k=15 and d=26.
This code was found by Heurico 1.16 in 79.9 seconds.