The generator matrix

 1  0  1  1  1  0  1  1  0  1  4  1  1  1  4  1  1  2  0  1  0  1  4  0
 0  1  1  0  1  1  0  3  1  0  1  4  0  5  1  5  7  1  1  2  1  0  1  1
 0  0  2  0  0  0  0  0  0  2  6  6  2  2  4  4  6  6  2  6  6  0  0  6
 0  0  0  2  0  0  0  0  2  2  6  4  0  4  6  6  2  0  6  6  0  6  2  2
 0  0  0  0  2  6  6  0  2  0  2  4  2  6  4  6  6  4  0  2  6  6  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  4  4  4  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  0  4  0  0  4  4  0  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  0  0  4  0  0  4  4  4
 0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4  4  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+341x^16+40x^17+1000x^18+632x^19+2875x^20+4008x^21+6872x^22+11704x^23+10310x^24+11704x^25+7368x^26+4008x^27+2806x^28+632x^29+840x^30+40x^31+292x^32+48x^34+15x^36

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 33.8 seconds.