The generator matrix

 1  0  0  0  0  0  1  1  1  1  X  0  1  1  1  0  1  1  1  0  X  0  X  X  X  0  1  1  0  0  0  1  0  1  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  1  1 X+1  1  1  X  0 X+1  X  0  1  X  0  1  X  X  1  X  1  1  0  1 X+1  X X+1  0
 0  0  1  0  0  0  0  0 X+1  1  1  0 X+1  X  X  1  X X+1  0  1  X X+1  0  0  1  1 X+1  1  1  1  0  0  1 X+1 X+1  1  0
 0  0  0  1  0  0  0  1  1  0 X+1  X X+1  X  1  1 X+1 X+1 X+1  0  1  0  1  1  1 X+1  1 X+1 X+1  X X+1  X  0  X X+1  1  0
 0  0  0  0  1  0  1  1  0 X+1  1 X+1  1  X  0  0  X X+1 X+1 X+1  1  0  X  1  0  0  1  0  0 X+1  1 X+1 X+1  1  X  X  0
 0  0  0  0  0  1  1  0 X+1  X X+1  1 X+1 X+1  X  X X+1  X  1  X  X  X  1 X+1 X+1  X  1  0 X+1  1  X X+1  X  X  X  X  0
 0  0  0  0  0  0  X  0  X  0  X  X  X  X  0  0  X  0  X  0  X  X  0  0  0  X  0  X  0  0  0  0  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  0  X  0  0  0  X  0  0  X  0  0  X  X  X  0  X  0  0  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+45x^26+136x^27+232x^28+356x^29+509x^30+612x^31+793x^32+940x^33+1101x^34+1292x^35+1411x^36+1406x^37+1369x^38+1362x^39+1189x^40+1086x^41+863x^42+618x^43+382x^44+262x^45+199x^46+66x^47+80x^48+46x^49+7x^50+10x^51+7x^52+3x^54+1x^56

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 30.3 seconds.