The generator matrix

 1  0  1  1  1  4  1  1  1  1  6 10  0  1  1  1  1  1
 0  1  1  0  3  1  0 11 15 10  1  1  4 14  5 15  8  0
 0  0  2  0  2  4 14  0  0  6 10 10  2  4  4  4 14  0
 0  0  0  2  2  6 14  8  2  8 14 12 12  4  8 14 10  0
 0  0  0  0  4  0  8  4 12  8  4  0  0  4  4  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+93x^12+304x^13+920x^14+2304x^15+6518x^16+13082x^17+19200x^18+12858x^19+6607x^20+2404x^21+864x^22+260x^23+93x^24+18x^25+8x^26+2x^27

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 6.91 seconds.