The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  1  0  X  1  1  0  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  X X+1  0  1  1  1 X+1  1  1 X+1
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  1 X+1  X  0 X+1  X  1  X X+1 X+1  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  X  X  0  0  X  0  X  0  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  X  0  X  X  0  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  X  X  0  X
 0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  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 18.

Homogenous weight enumerator: w(x)=1x^0+31x^18+60x^19+82x^20+102x^21+99x^22+100x^23+95x^24+102x^25+96x^26+84x^27+70x^28+50x^29+28x^30+12x^31+7x^32+2x^33+1x^34+1x^38+1x^40

The gray image is a linear code over GF(2) with n=48, k=10 and d=18.
This code was found by Heurico 1.16 in 0.0353 seconds.