The generator matrix

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

generates a code of length 30 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+50x^24+68x^25+81x^26+110x^27+92x^28+102x^29+89x^30+80x^31+77x^32+64x^33+61x^34+62x^35+32x^36+22x^37+23x^38+4x^39+4x^40+2x^42

The gray image is a linear code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.10 in 0.031 seconds.