The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+36x^14+66x^16+64x^17+704x^18+64x^19+48x^20+28x^22+12x^24+1x^32

The gray image is a code over GF(2) with n=144, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0123 seconds.