The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^14+204x^15+351x^16+886x^17+1056x^18+902x^19+356x^20+168x^21+58x^22+12x^23+12x^24+2x^25+4x^26+2x^27

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 0.0637 seconds.