The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+74x^22+148x^23+286x^24+408x^25+655x^26+678x^27+917x^28+1204x^29+1310x^30+1646x^31+1572x^32+1608x^33+1469x^34+1326x^35+1055x^36+692x^37+501x^38+318x^39+241x^40+120x^41+80x^42+44x^43+24x^44+7x^46

The gray image is a linear code over GF(2) with n=64, k=14 and d=22.
This code was found by Heurico 1.10 in 4.05 seconds.