The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^16+166x^17+289x^18+904x^19+1040x^20+2802x^21+2791x^22+6238x^23+3890x^24+6494x^25+2764x^26+2958x^27+1046x^28+758x^29+272x^30+138x^31+73x^32+20x^33+27x^34+2x^35+2x^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 8.75 seconds.