The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^16+138x^17+374x^18+746x^19+1508x^20+2428x^21+3552x^22+4840x^23+5365x^24+4984x^25+3703x^26+2356x^27+1485x^28+756x^29+299x^30+120x^31+52x^32+14x^33+7x^34+2x^35+3x^36+1x^38

The gray image is a code over GF(2) with n=96, k=15 and d=32.
This code was found by Heurico 1.16 in 7.55 seconds.