The generator matrix

 1  1  1  1  1  1  2  0  1  1  2 12  1  1  2  1  1  1  2  1
 0  2 12  6  0  6  6  2 12 10 10  2  0  6  6  0  0  6  6  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  0  8
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  8  8
 0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  8

generates a code of length 20 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+95x^12+96x^14+1006x^16+512x^17+3744x^18+7680x^19+6491x^20+7680x^21+3744x^22+512x^23+1032x^24+96x^26+69x^28+9x^32+1x^36

The gray image is a code over GF(2) with n=160, k=15 and d=48.
This code was found by Heurico 1.16 in 1.81 seconds.