The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+46x^16+68x^17+188x^18+198x^19+225x^20+294x^21+357x^22+442x^23+399x^24+482x^25+386x^26+330x^27+241x^28+170x^29+143x^30+54x^31+46x^32+10x^33+13x^34+2x^36+1x^42

The gray image is a code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.10 in 0.188 seconds.