The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1  2  1  1  1  2  2
 0  2  0  2  0 10 12 14 10  6  4 14  0  4  6  8  2 10
 0  0  2  2 12 14  6  4  6  0  2  2  6  2  0  2  2  6
 0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  0  8
 0  0  0  0  0  0  8  0  8  0  8  8  0  0  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  0  0  8  0  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+119x^12+128x^13+588x^14+1664x^15+2886x^16+5376x^17+11244x^18+5376x^19+2894x^20+1664x^21+580x^22+128x^23+112x^24+4x^26+3x^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 2.13 seconds.