The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  4  1  2  4  4  6  1  1  1  1  0  2  1
 0  1  0  1  2  3  1  1  0  2  5  0  7  1  1  1  0  7  6  2  6  1  4  0
 0  0  1  1  1  0  3  2  2  3  3  1  2  1  2  1  1  2  1  7  6  0  0  0
 0  0  0  2  0  6  2  2  6  2  4  2  0  0  0  4  4  0  6  4  6  4  2  0
 0  0  0  0  4  0  0  0  4  0  4  0  4  0  0  4  0  4  0  0  0  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  4  0  0  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  0  0  4  0  4  0  4  4  0  4  4  4  4  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  4  4  4  0  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+68x^16+130x^17+343x^18+858x^19+1546x^20+2450x^21+3619x^22+4610x^23+5246x^24+4926x^25+3625x^26+2574x^27+1518x^28+678x^29+332x^30+150x^31+69x^32+8x^33+15x^34+1x^38+1x^42

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 7.08 seconds.