The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  0  1  2  2  1  1  1
 0  2  0 14  4  6 12  2 14  2  6  2  0  2  8  6 10  0
 0  0 12  4  4  0  0  4  4 12  0  0  8  4  4  0  8  0
 0  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  8  0  8  8  8  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  0  8
 0  0  0  0  0  0  8  0  8  8  0  0  0  8  8  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+20x^12+56x^13+126x^14+288x^15+887x^16+1688x^17+2042x^18+1728x^19+866x^20+296x^21+130x^22+32x^23+16x^24+8x^25+6x^26+2x^28

The gray image is a code over GF(2) with n=144, k=13 and d=48.
This code was found by Heurico 1.16 in 0.163 seconds.