The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  2
 0  2  0  6  4 14 12  2  0  6  8  6 12 10 12  2  0  4  6 12 10  8  6  8  6 10  6
 0  0 12  0  4  4  8  4  8  8  4 12 12 12  0  8  0 12 12  0  4  8  4  4  0  8  0
 0  0  0  8  8  0  8  8  0  8  0  0  8  8  8  0  8  0  8  0  0  8  8  8  8  8  8

generates a code of length 27 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+87x^24+104x^25+133x^26+440x^27+74x^28+88x^29+58x^30+8x^31+29x^32+1x^34+1x^48

The gray image is a code over GF(2) with n=216, k=10 and d=96.
This code was found by Heurico 1.16 in 0.0226 seconds.