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

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

Homogenous weight enumerator: w(x)=1x^0+102x^24+80x^25+152x^26+352x^27+200x^28+80x^29+8x^30+48x^32+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 0.311 seconds.