The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  2
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12 14  8  4 10 10  0  6  8 12 10  6  6
 0  0  8  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  0  8  8  0  8  0  8  0  0
 0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  8  0  0  8  0  8  0  8  8  8
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  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+144x^24+400x^26+340x^28+96x^30+42x^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 0.0234 seconds.