The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  2  8  2  1
 0  2  0  2  0 10 12  6  2  6  4  4  0  2  6  0  4  8  0
 0  0  2  2 12 14  6  0  2  0  2  4  6  4  6  6  2  4  0
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^12+60x^13+325x^14+328x^15+1970x^16+1740x^17+8904x^18+5976x^19+8980x^20+1748x^21+1986x^22+344x^23+268x^24+36x^25+48x^26+8x^27+8x^28+1x^30+1x^32

The gray image is a code over GF(2) with n=152, k=15 and d=48.
This code was found by Heurico 1.16 in 2.04 seconds.