The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+20x^20+44x^21+37x^22+32x^23+29x^24+22x^25+16x^26+14x^27+10x^28+12x^29+9x^30+4x^32+2x^33+2x^34+2x^35

The gray image is a code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.10 in 0.015 seconds.