The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+76x^24+154x^25+221x^26+330x^27+464x^28+524x^29+516x^30+650x^31+725x^32+718x^33+788x^34+750x^35+638x^36+546x^37+388x^38+286x^39+190x^40+96x^41+61x^42+32x^43+18x^44+10x^45+8x^46+2x^50

The gray image is a linear code over GF(2) with n=66, k=13 and d=24.
This code was found by Heurico 1.10 in 1.17 seconds.