The generator matrix

1 0 0 0 0 0 0 1 1 1 1 X 1 1 0 1 X X 0 1 X 1 1 X 0 1 0 1 1 1 X X 1 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X 1 1 1 1 X+1 1 X X X X 0 1 1 X 1 0 1 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 X+1 X 1 1 X X+1 0 X 0 X 0 1 1 X 1 X+1 0 X+1 1 1 0
0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 X 1 X+1 X+1 1 0 0 1 1 1 X X X+1 X 0 0 1 X+1 X 0 0
0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X X+1 0 1 1 X X+1 X X+1 X+1 1 X 0 1 X 0 X X+1 0
0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 1 0 1 X 1 0 0 X X+1 X+1 X 1 X X+1 X+1 X 0 0 1 X+1 0
0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 1 X X X+1 X+1 0 X 0 0 X+1 0 X+1 X+1 X 0 0 X+1 1 1 1 0

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+32x^25+118x^26+236x^27+360x^28+502x^29+613x^30+780x^31+948x^32+1072x^33+1280x^34+1398x^35+1450x^36+1468x^37+1383x^38+1232x^39+1038x^40+848x^41+598x^42+384x^43+260x^44+158x^45+99x^46+52x^47+37x^48+16x^49+4x^50+14x^51+2x^52+1x^54

The gray image is a linear code over GF(2) with n=72, k=14 and d=25.
This code was found by Heurico 1.10 in 4.81 seconds.