The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+68x^19+143x^20+112x^21+54x^22+76x^23+137x^24+96x^25+52x^26+92x^27+89x^28+48x^29+22x^30+20x^31+14x^32

The gray image is a linear code over GF(2) with n=48, k=10 and d=19.
This code was found by Heurico 1.10 in 2.52 seconds.