The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  1  8  1  1  1  4  1
 0  1 11  6  5  1  5  0  1  6 11 12  1  2  8  6  4  0
 0  0 12  0  0  8  4 12 12  4  8  8  4  8  0 12  0  8
 0  0  0 12  8 12  4 12 12 12 12  0  8  4  4  4  4  8

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

Homogenous weight enumerator: w(x)=1x^0+58x^14+146x^15+447x^16+884x^17+1056x^18+884x^19+412x^20+120x^21+66x^22+10x^23+4x^24+4x^25+4x^26

The gray image is a code over GF(2) with n=144, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0414 seconds.