The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^16+8x^17+496x^18+120x^19+1203x^20+616x^21+2513x^22+1304x^23+3396x^24+1304x^25+2668x^26+616x^27+1210x^28+120x^29+438x^30+8x^31+137x^32+28x^34+11x^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 3.09 seconds.