The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+256x^24+136x^25+404x^26+496x^27+399x^28+136x^29+156x^30+63x^32+1x^44

The gray image is a code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 0.105 seconds.