The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  1  1  1  1  2  1
 0  1  3  6  5  1 12 15  1  0  3  1 10  6  0  6  0  0
 0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  0
 0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^12+32x^13+50x^14+336x^15+493x^16+2208x^17+1895x^18+2176x^19+476x^20+320x^21+94x^22+48x^23+10x^24+8x^26+1x^34

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 0.0997 seconds.