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.