The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^16+388x^18+128x^19+976x^20+1152x^21+1424x^22+2816x^23+2118x^24+2816x^25+1496x^26+1152x^27+1088x^28+128x^29+272x^30+195x^32+4x^34+16x^36+2x^40

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 16.8 seconds.