The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^5+112x^6+672x^7+2334x^8+672x^9+112x^10+96x^11+1x^16

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 0.0317 seconds.