The generator matrix

 1  0  1  1  1  6  1  1 12  1  0  1 10  6  1  1  0  2
 0  1  3  6  5  1 12  7  1 10  1  9  1  1  0  3  1  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  0  8  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  0  8  0  8
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  0  8  8  0  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+58x^12+144x^14+448x^15+1422x^16+4928x^17+2400x^18+4928x^19+1396x^20+448x^21+144x^22+64x^24+2x^28+1x^32

The gray image is a code over GF(2) with n=144, k=14 and d=48.
This code was found by Heurico 1.16 in 0.456 seconds.