The generator matrix

 1  0  0  0  1  1  1  6  4  1  1  6  1  6  1  0  1  1  4  1  1  1  1  1
 0  1  0  0  0  1  1  1  1  6  2  6  7  4  4  1  2  6  1  0  3  3  4  0
 0  0  1  0  1  1  0  3  2  2  1  1  6  4  1  0  4  0  3  5  7  0  0  0
 0  0  0  1  1  0  1  3  1  3  0  7  6  1  5  2  6  0  6  3  6  6  4  0
 0  0  0  0  2  0  2  6  2  0  6  4  0  6  4  2  0  6  6  6  2  2  4  0
 0  0  0  0  0  2  2  2  4  6  6  6  0  6  2  6  2  0  4  2  6  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+123x^16+286x^17+780x^18+1508x^19+2703x^20+4668x^21+7484x^22+9818x^23+10657x^24+10032x^25+7291x^26+4754x^27+2929x^28+1444x^29+663x^30+238x^31+95x^32+18x^33+37x^34+2x^35+4x^36+1x^38

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 27.7 seconds.