The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^18+5x^20+2x^22

The gray image is a code over GF(2) with n=144, k=5 and d=72.
This code was found by Heurico 1.16 in 0.00125 seconds.