The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+116x^12+272x^14+64x^15+1014x^16+1024x^17+3664x^18+3968x^19+3856x^20+1024x^21+880x^22+64x^23+360x^24+48x^26+28x^28+1x^32

The gray image is a code over GF(2) with n=152, k=14 and d=48.
This code was found by Heurico 1.16 in 0.765 seconds.