The generator matrix

1 0 0 0 0 0 0 1 1 1 1 X 1 1 0 1 0 X X X 0 0 0 1 X X 1 1 1 1 1 1 X 1 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 X+1 1 1 X 1 1 1 1 1 X 0 0 X+1 X X+1 X X+1 X 1 0 0 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 X X+1 1 X 1 0 1 X+1 0 X X+1 X X 1 1 X+1 1 0 1 0 0
0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 X+1 X 0 1 X+1 1 1 0 X X 1 1 X X+1 X 0 1 1 0 X 0 0
0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X+1 X X X 1 1 1 1 X+1 0 0 X X+1 X+1 X+1 0 0 X 1 0
0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 1 0 1 1 1 X 1 X+1 X X+1 X 0 X X X 0 X 0 1 X+1 1 0
0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 0 1 X X X+1 X 0 X+1 0 X X+1 X X+1 X+1 1 0 X+1 0 1 X+1 X+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+76x^26+80x^27+290x^28+326x^29+502x^30+608x^31+774x^32+956x^33+1070x^34+1324x^35+1326x^36+1498x^37+1372x^38+1482x^39+1196x^40+1030x^41+806x^42+514x^43+432x^44+248x^45+244x^46+78x^47+77x^48+38x^49+24x^50+10x^51+2x^54

The gray image is a linear code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.10 in 5.05 seconds.