The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  4  1  1  4  1  2  1  1  4  1  1
 0 12  0  0  0  0  0  0  0  4 12  8  4  4  4 12 12  8  8  0 12  0  4  0
 0  0 12  0  0  0  4 12  4  4  4 12  4  8  8 12 12  0 12  4  0  0  0  0
 0  0  0 12  0  4  4  4  8  0  0  4  4  4  8  8  8  8  0  8  4  8  0  0
 0  0  0  0 12  4  0  4  4  0  4  8  4  8 12  0  4  4 12  8  8  4  4  0
 0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  0  8  8  8  8  8  0

generates a code of length 24 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+55x^16+58x^17+150x^18+202x^19+342x^20+580x^21+1630x^22+3244x^23+3828x^24+3268x^25+1652x^26+604x^27+338x^28+180x^29+136x^30+44x^31+44x^32+10x^33+14x^34+2x^35+2x^38

The gray image is a code over GF(2) with n=192, k=14 and d=64.
This code was found by Heurico 1.16 in 1.48 seconds.