The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  X  1  1  X  1  1  X  X  0  0  1  1  1  1  1  X  X  1  1  0  0  X  1  1  X  1
 0  1  0  0  0  0  0  X  1  1 X+1  1 X+1  0  1 X+1 X+1  1  1  1  1  X  X  1  1 X+1  X  1  X X+1  0  1  1  1  0  1  0
 0  0  1  0  0  0  0  0  0  0  0  0 X+1  1  1  1  X X+1  1  0 X+1  0 X+1  X  X X+1  1  0  X  X  1  X X+1  X X+1  0  0
 0  0  0  1  0  0  0  0  0  0  0  0  0  X  1 X+1 X+1  X X+1  X X+1 X+1 X+1  0 X+1  X  0 X+1  X  1 X+1  1  X  X X+1  X  0
 0  0  0  0  1  0  0  1 X+1  X  X  1  0 X+1  1  1 X+1  X  0  1 X+1 X+1  X  X  X  0  X  0  X  1  1 X+1  1 X+1  X  X  0
 0  0  0  0  0  1  0  1  X X+1  0  1  X  X  0  1 X+1 X+1 X+1  0 X+1 X+1  X  1 X+1 X+1  1  X  0  0  0  X  0  1 X+1  0  0
 0  0  0  0  0  0  1  1  0  X X+1 X+1  X  X  0  X  1 X+1  0  1  1  0  1  1  0  0  X X+1  1 X+1  X  X  0  X  0  1  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+62x^26+86x^27+292x^28+320x^29+501x^30+626x^31+787x^32+904x^33+1110x^34+1404x^35+1325x^36+1472x^37+1359x^38+1414x^39+1129x^40+1028x^41+801x^42+556x^43+491x^44+280x^45+239x^46+72x^47+71x^48+28x^49+23x^50+2x^51+1x^62

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 31.4 seconds.