The generator matrix

 1  0  1  1  1 12  2  1
 0  1  1 12 11  1  2  0
 0  0  2  6  4  6  2  0
 0  0  0  8  8  8  0  8

generates a code of length 8 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+48x^5+285x^6+656x^7+2121x^8+656x^9+274x^10+48x^11+6x^12+1x^14

The gray image is a code over GF(2) with n=64, k=12 and d=20.
This code was found by Heurico 1.16 in 0.00671 seconds.