The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^14+142x^16+512x^17+608x^18+512x^19+96x^20+80x^22+16x^24+1x^32

The gray image is a code over GF(2) with n=144, k=11 and d=56.
This code was found by Heurico 1.16 in 0.0392 seconds.