The generator matrix

 1  0  1  1  1  4  1  1  1  6 12 10  1  2  1  1  8  1
 0  1  1  0 11  1  6 13 10  1  2  1 10  4 15  0  8 12
 0  0  2  6  0  2  0  8  6  4  2  2  6  2  8 12  4  2
 0  0  0 12  0  4  4  4  4  4 12  8  0 12  0  8  0  0
 0  0  0  0 12  4  4  8 12  8  0  4  0  4  8 12 12  4
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  8  0

generates a code of length 18 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+77x^12+294x^13+989x^14+2604x^15+8141x^16+11910x^17+17479x^18+11992x^19+8035x^20+2658x^21+1043x^22+220x^23+65x^24+18x^25+9x^26+1x^32

The gray image is a code over GF(2) with n=144, k=16 and d=48.
This code was found by Heurico 1.16 in 6.66 seconds.