The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  2  1  0  4  1  1  2
 0  2  0  2  0  8  6  4  6  0  2 14 12  2 12  2 10  6
 0  0  2  2 12 14  6 12  8  6  2  4  8  0  2 14  8  0
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0
 0  0  0  0  8  8  0  0  8  8  8  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+66x^14+200x^15+510x^16+708x^17+1187x^18+688x^19+442x^20+184x^21+88x^22+8x^23+7x^24+4x^25+3x^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 0.0617 seconds.