The generator matrix

 1  0  1  1  1 10  1  1 14  1  1  2  6 12  6  0  0  1
 0  1  1  0  3  1  8 11  1 10  3  1  1  1  1  1  2 12
 0  0  2  0 14  8  2 12  2 14  4  6 14 12 10  6 14 14
 0  0  0  2 14 14 14  8  6  0 10  4 14  4  4  8 10  6

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

Homogenous weight enumerator: w(x)=1x^0+202x^14+674x^15+1508x^16+3658x^17+4275x^18+3764x^19+1478x^20+564x^21+208x^22+42x^23+5x^24+2x^25+3x^26

The gray image is a code over GF(2) with n=144, k=14 and d=56.
This code was found by Heurico 1.16 in 0.575 seconds.