The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  4
 0  2  0  6  4 14 12  2  0  8  6  4  4  6  2 10  0  8
 0  0 12  0  4  4  8  4  0  4  0  8 12 12 12  0  8  8
 0  0  0  8  8  0  8  8  8  8  0  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+270x^16+512x^18+224x^20+16x^24+1x^32

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 73.3 seconds.