The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+22x^20+36x^21+24x^22+46x^23+37x^24+18x^25+26x^26+14x^27+8x^28+8x^29+4x^30+2x^31+4x^32+2x^33+2x^34+2x^35

The gray image is a linear code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.10 in 0 seconds.