The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  4  0  1  4  1
 0  2  0  0  0  0  0  0  0  0  0  4  2  2  2  4  6  2  0  4  2  4  2  0
 0  0  2  0  0  0  0  0  0  6  2  6  4  6  2  2  6  0  2  4  6  2  6  4
 0  0  0  2  0  0  0  2  6  6  6  0  6  4  0  4  2  4  2  2  0  6  4  4
 0  0  0  0  2  0  2  2  2  4  6  2  0  0  6  2  2  6  4  6  6  2  2  0
 0  0  0  0  0  2  2  4  6  6  2  4  0  4  0  2  6  6  6  4  4  0  6  0
 0  0  0  0  0  0  4  4  4  0  4  4  0  0  4  0  0  0  4  0  0  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+79x^16+148x^17+284x^18+400x^19+481x^20+1290x^21+757x^22+4258x^23+875x^24+4300x^25+779x^26+1454x^27+531x^28+316x^29+205x^30+94x^31+81x^32+24x^33+21x^34+2x^35+2x^37+2x^38

The gray image is a code over GF(2) with n=96, k=14 and d=32.
This code was found by Heurico 1.16 in 3.37 seconds.