The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+68x^25+147x^26+190x^27+230x^28+278x^29+290x^30+310x^31+349x^32+338x^33+348x^34+342x^35+340x^36+282x^37+214x^38+170x^39+97x^40+58x^41+25x^42+12x^43+6x^44+1x^56

The gray image is a linear code over GF(2) with n=66, k=12 and d=25.
This code was found by Heurico 1.10 in 0.329 seconds.