The generator matrix

 1  0  1  1  1 12  1  1  6  1  2  1  1  1  1  0  1  1
 0  1  1  0  3  1  6 15  1 10  1 13  4  2  4  0 10 10
 0  0  2  6  0  2  8 10 12  6  2  8 12 12  6  2  4  2
 0  0  0 12  8 12  0  4 12  0  8 12  8  0  4  8  4  4

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

Homogenous weight enumerator: w(x)=1x^0+72x^14+336x^15+855x^16+1696x^17+2270x^18+1760x^19+804x^20+288x^21+84x^22+16x^23+4x^24+6x^26

The gray image is a code over GF(2) with n=144, k=13 and d=56.
This code was found by Heurico 1.16 in 0.188 seconds.