The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  1  X  1  0  1  1  1  X  X  1  X  X  X  1  0  1  0  0  1  1  1
 0  1  0  0  0  1  1  1  0  0 X+1 X+1  1  1  X  X  0  X  0  0  1 X+1 X+1  1  1 X+1  1  1  1 X+1  1  0  0  X  1 X+1  0
 0  0  1  0  1  1  0  1  0  1  1  0  0 X+1  1  1  1  X  0  1 X+1 X+1  0  X X+1  X X+1  X  0 X+1  X  1  1  0  X  1  1
 0  0  0  1  1  0  1  1  1  0  1  0  1  X X+1  X X+1  1  0  X  X  X  0  X  0 X+1 X+1  1  X  1  1  1  0  1  1  0  1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  0  0  X  X  X  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  X  0  0  X  X  0  X  0  X  X  X  0  0  0  X  0  0  0  0  X  0  0  X  X
 0  0  0  0  0  0  X  0  0  0  X  X  X  0  0  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  X  X  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  0  0  X  X  0  0  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  0  X  X  X  0  0  0  0  X  X  0  X  X  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  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+61x^26+108x^27+247x^28+266x^29+449x^30+582x^31+814x^32+972x^33+1080x^34+1324x^35+1386x^36+1636x^37+1484x^38+1404x^39+1154x^40+968x^41+807x^42+596x^43+427x^44+226x^45+193x^46+78x^47+63x^48+28x^49+18x^50+4x^51+4x^52+2x^54+2x^58

The gray image is a linear code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.16 in 27.9 seconds.