The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  2  1  1  2  2  2  1  1
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  8  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  8  8
 0  0  0  0  0  0  0  0  0  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  0  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+247x^16+464x^20+224x^22+1664x^24+1120x^26+24576x^27+2432x^28+672x^30+951x^32+32x^34+304x^36+80x^40+1x^48

The gray image is a code over GF(2) with n=216, k=15 and d=64.
This code was found by Heurico 1.16 in 4.87 seconds.