The generator matrix

 1  0  0  1  1  1 10  1  1 10  1 14  1  2  4 14  2  1
 0  1  0  1 10  7  1 12  2  0  5  1  1  1  1  1 12  0
 0  0  1  1  5  2  5  6  7  1  3  4  4  7  9  1  8  0
 0  0  0  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+102x^14+336x^15+1023x^16+1496x^17+2300x^18+1542x^19+940x^20+308x^21+110x^22+24x^23+4x^24+4x^25+2x^27

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 0.141 seconds.