The generator matrix

 1  0  1  1  1 12  1  1 10  1  1  1  8  1  2  0  2  1
 0  1  1 12 11  1  2  7  1  6 10 13  1  6  4  0  8  0
 0  0  2  6  4  6  2  2  6  0  6  4  4  6  2  2 12  0
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+39x^12+140x^13+334x^14+1264x^15+3928x^16+5260x^17+10854x^18+5248x^19+3928x^20+1252x^21+330x^22+144x^23+38x^24+4x^25+2x^26+1x^28+1x^32

The gray image is a code over GF(2) with n=144, k=15 and d=48.
This code was found by Heurico 1.16 in 1.5 seconds.