The generator matrix

 1  0  0  1  1  1 14  1  1  1  1  1 10  8  6  1  1  1
 0  1  0  1  6 15  1  1 12 13 14 14  1  1  6  4  8  0
 0  0  1  1 11  2  3  1  2  4  3  2  5  8  1  0  0  0
 0  0  0 12  0  0  0  0  4  8  4  4  8  4 12  8  8  0
 0  0  0  0 12  4  4  8  0  8  8 12  0  0  4  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+73x^12+280x^13+784x^14+2450x^15+6066x^16+13130x^17+19922x^18+13172x^19+6115x^20+2444x^21+758x^22+250x^23+65x^24+18x^25+6x^26+2x^30

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 5.81 seconds.