The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  1  1
 0 12  0 12  8  4  8  4 12 12  0  8  4  0  4  8  0  0
 0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+7x^16+110x^18+8x^20+2x^26

The gray image is a code over GF(2) with n=144, k=7 and d=64.
This code was found by Heurico 1.16 in 0.00297 seconds.