The generator matrix

 1  0  0  1  1  1  2  0  1  1 14  1  4  1  1  1  6  1
 0  1  0  1  2  3  1  1  8  6  1 15 10  7  2 13  1  3
 0  0  1  1  1  4  7  2  6  3  1  7  1  0 12 12  2  5
 0  0  0  2  8 10  6 10 10  6  0 12 14 14  4  0 12 14

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

Homogenous weight enumerator: w(x)=1x^0+330x^14+1312x^15+3127x^16+7138x^17+8728x^18+7544x^19+3076x^20+1132x^21+346x^22+24x^23+4x^24+2x^25+4x^26

The gray image is a code over GF(2) with n=144, k=15 and d=56.
This code was found by Heurico 1.16 in 2.19 seconds.