The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^5+96x^6+144x^7+513x^8+120x^9+88x^10+32x^11+6x^12

The gray image is a code over GF(2) with n=64, k=10 and d=20.
This code was found by Heurico 1.16 in 0.00154 seconds.