The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+384x^18+32x^20+16x^24+1x^32

The gray image is a code over GF(2) with n=144, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0229 seconds.