The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+240x^12+276x^13+1348x^14+2456x^15+6597x^16+12580x^17+18400x^18+12720x^19+6680x^20+2428x^21+1348x^22+248x^23+170x^24+12x^25+24x^26+8x^28

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 9.96 seconds.