The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  6  1  1  1  1  1  1  0  0
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  1  3  6  5  5  0  0  1  1
 0  0  4  0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  4  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4  4  0
 0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  0  4  0  0  0  0  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  4  4  4  4  4  0  0  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  0  0  0  4  4
 0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  0  0  4  0  0  0  4  4  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  0  4  0  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+39x^16+88x^18+64x^19+432x^20+576x^21+808x^22+1408x^23+1360x^24+1408x^25+808x^26+576x^27+432x^28+64x^29+88x^30+39x^32+1x^48

The gray image is a code over GF(2) with n=96, k=13 and d=32.
This code was found by Heurico 1.16 in 0.55 seconds.