The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1 12  8  2  1  2  1  1  4  8
 0  2  0  6  4 14 12  2  0  6 12 10  8  2  2 12  8 14  2  2  6 14  6  4 10 12  2
 0  0 12  0  4  4  8  4  0  8  0  0  4  4  8  4  4  4  8  4  0  0  0  4  8  8 12
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  0  8  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  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+355x^24+640x^26+780x^28+224x^30+41x^32+4x^36+3x^40

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 67.7 seconds.