The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+27x^24+46x^25+63x^26+72x^27+62x^28+56x^29+34x^30+34x^31+26x^32+22x^33+19x^34+20x^35+8x^36+4x^37+12x^38+2x^39+4x^40

The gray image is a linear code over GF(2) with n=58, k=9 and d=24.
This code was found by Heurico 1.10 in 0.016 seconds.