The generator matrix

 1  0  1  1  1 14  2  1
 0  1 11  6  5  1  6  0
 0  0 12  0  4  8  4  4
 0  0  0 12  4 12 12 12

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

Homogenous weight enumerator: w(x)=1x^0+40x^5+221x^6+984x^7+1609x^8+984x^9+210x^10+40x^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 0.0067 seconds.