The generator matrix

 1  0  0  1  1  1  6  1  1  4  1  2  1  4  1  1  0  6  2  1  2  1  1  1
 0  1  0  1  6  3  1  0  5  1  2  1  1  2  3  3  1  1  1  0  1  4  0  0
 0  0  1  1  3  6  3  6  3  2  1  1  2  1  3  0  3  0  2  3  2  1  3  0
 0  0  0  4  0  0  0  0  0  0  4  4  4  0  4  0  4  4  4  4  4  0  0  0
 0  0  0  0  4  0  0  0  0  4  4  4  0  0  0  4  0  4  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  4  4  0  4  0  4  4  0  4  0  0  4  0  0  0  0
 0  0  0  0  0  0  4  0  4  0  0  4  4  0  0  4  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  4  4  4  0  0  4  4  0  4  4  0  4  4  4  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+22x^16+76x^17+135x^18+444x^19+521x^20+1608x^21+1443x^22+3004x^23+1922x^24+2960x^25+1388x^26+1620x^27+580x^28+472x^29+100x^30+52x^31+23x^32+4x^33+5x^34+3x^36+1x^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 1.81 seconds.