The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^12+188x^14+64x^15+330x^16+1024x^17+420x^18+3968x^19+508x^20+1024x^21+396x^22+64x^23+132x^24+12x^26+12x^28+8x^30+1x^32

The gray image is a code over GF(2) with n=152, k=13 and d=48.
This code was found by Heurico 1.16 in 0.181 seconds.