The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^18+2x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=144, k=6 and d=72.
This code was found by Heurico 1.16 in 0.00224 seconds.