The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  4  1  4  2  1  4  1
 0 12  0  0  0  0  0  0  0 12  4  8  8 12  4  8 12  0
 0  0 12  0  0  0  4 12 12  8  4  4  8  4  4  0  8  0
 0  0  0 12  0  4  4  4  0  8  0  8  0  8  4  0  4  0
 0  0  0  0 12  4  8  4  4  0  8  8  8 12  4  4  4  8
 0  0  0  0  0  8  8  0  8  8  0  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+56x^12+74x^13+165x^14+360x^15+799x^16+1598x^17+2044x^18+1648x^19+828x^20+342x^21+148x^22+72x^23+44x^24+2x^25+8x^26+3x^30

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 0.245 seconds.