The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+86x^17+174x^18+186x^19+226x^20+338x^21+436x^22+418x^23+370x^24+390x^25+438x^26+366x^27+274x^28+198x^29+98x^30+54x^31+21x^32+12x^33+4x^34+4x^36+2x^38

The gray image is a linear code over GF(2) with n=48, k=12 and d=17.
This code was found by Heurico 1.16 in 33.6 seconds.