The generator matrix

 1  0  0  1  1  1  2  0  1  1  4  1  1  2  1  1  6  6  1  1  1  2  2  1
 0  1  0  1  2  3  1  1  0  2  0  5  7  1  6  1  1  0  2  2  7  0  1  0
 0  0  1  1  1  0  3  2  2  3  1  3  2  1  3  0  0  1  2  3  3  1  3  0
 0  0  0  2  0  6  2  2  2  2  6  0  0  0  4  6  0  4  4  6  6  2  6  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  0  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  0  4  4  4  4  0  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  0  4  0  4  0  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  4  0  4  4  0  0  4  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  0  0  4  4  0  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+159x^16+80x^17+792x^18+880x^19+3373x^20+4048x^21+8008x^22+9328x^23+12084x^24+9328x^25+8184x^26+4048x^27+3418x^28+880x^29+664x^30+80x^31+154x^32+16x^34+9x^36+2x^40

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 25.4 seconds.