The generator matrix

 1  0  0  1  1  1  0  1  1  1  0  1  X  0  1  1  1  1  X  0  0  0  1  1  X  X  1  0  1  1  0  1  1  0  1  1  1
 0  1  0  1  0  1  1  0  0  1  1 X+1  1  0  0  X  1 X+1  1  0  1  0 X+1  X  0  1 X+1  1  0  X  1 X+1  X  0  X  0  0
 0  0  1  1  1  0  1  0  1  1  X  0 X+1  1  0  1  1  0  1  1  0  1  0 X+1  1 X+1  0  0  X  X  0  X  X  1  1  0  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  0  0  X  0  X  X  0  X  0  X  X  0  X  0  0  X  X  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  X  0  0  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  0  X  0  X  0  0  0  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  X  X  X  X  0  0  0  X  X  X  0  0  0  X  X  0  X
 0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  X  0  X  X  0  X  X  X  0  X  0  0  0  0  0  0  X
 0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  0  X  X  X  0  0  X  0  0  X  0  0  X  X  X  0  X  0  X  X
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  0  X  0  0  0  X  X  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+53x^26+214x^28+430x^30+706x^32+1159x^34+1508x^36+1518x^38+1240x^40+739x^42+366x^44+178x^46+52x^48+17x^50+8x^52+2x^54+1x^64

The gray image is a linear code over GF(2) with n=74, k=13 and d=26.
This code was found by Heurico 1.16 in 4.11 seconds.