The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  4  0  6  6  4  1  2  1  2  2  2  1
 0  1  0  0  0  1  1  1  2  3  3  2  1  2  1  2  1  2  1  2  0  6  1  0
 0  0  1  0  1  3  2  3  0  2  3  1  1  1  2  2  1  2  2  3  2  4  0  0
 0  0  0  1  1  2  3  1  1  2  3  0  0  1  1  1  3  3  3  2  1  1  2  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  4  0  4  0
 0  0  0  0  0  4  0  0  4  4  4  4  0  4  0  0  4  0  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  4  4  4  4  4  0  0  4  0  4  4  0  0  4  4  4
 0  0  0  0  0  0  0  4  4  0  4  0  4  4  4  4  4  0  4  4  0  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+45x^16+230x^17+498x^18+1518x^19+2422x^20+5516x^21+6656x^22+11110x^23+9431x^24+11206x^25+6700x^26+5610x^27+2360x^28+1466x^29+480x^30+194x^31+74x^32+12x^33+2x^34+2x^36+2x^37+1x^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 23.9 seconds.