The generator matrix

1 0 0 0 0 1 1 1 2 1 1 1 1 1 1 0 0 1 1 1 1 1 2 1
0 1 0 0 0 0 0 0 0 2 1 1 2 1 2 1 1 3 1 2 1 3 1 0
0 0 1 0 0 1 2 3 1 0 0 0 2 1 2 3 1 1 0 2 2 2 3 0
0 0 0 1 0 1 3 2 3 0 1 2 2 2 0 1 1 2 3 2 0 1 2 1
0 0 0 0 1 2 1 3 3 1 3 0 1 2 3 1 0 3 2 3 0 0 3 0

generates a code of length 24 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+33x^18+68x^19+71x^20+98x^21+84x^22+104x^23+123x^24+104x^25+110x^26+62x^27+53x^28+50x^29+28x^30+20x^31+8x^32+4x^33+1x^34+2x^35

The gray image is a code over GF(2) with n=48, k=10 and d=18.
This code was found by Heurico 1.10 in 0.016 seconds.