The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  2  2  2  1  1  4  4  1  1  1  1  0  1
 0  1  0  1  0  1  1  0  1  5  2  1  2  1  1  3  2  1  2  5  4  7  1  6
 0  0  1  1  1  0  1  2  1  2  3  0  1  3  0  3  1  0  0  1  2  1  4  1
 0  0  0  2  0  0  0  6  6  4  2  2  2  2  6  2  6  4  6  4  4  4  6  6
 0  0  0  0  2  0  0  4  6  6  0  0  6  6  6  4  2  0  6  4  0  6  6  4
 0  0  0  0  0  2  0  0  0  0  0  4  4  2  2  2  2  2  2  4  6  6  6  4
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  0  0  4  0  0  4  4  4

generates a code of length 24 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+106x^16+208x^17+578x^18+1298x^19+2722x^20+4794x^21+7395x^22+10012x^23+10988x^24+10298x^25+7686x^26+4630x^27+2676x^28+1310x^29+516x^30+186x^31+81x^32+30x^33+16x^34+2x^36+1x^38+2x^39

The gray image is a code over GF(2) with n=96, k=16 and d=32.
This code was found by Heurico 1.16 in 29 seconds.