The generator matrix

 1  0  1  1  1 12  4  1
 0  1  1  0 11  1  2  0
 0  0  2  6  0  2  2  4
 0  0  0 12 12 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+104x^5+445x^6+1816x^7+3465x^8+1816x^9+434x^10+104x^11+6x^12+1x^14

The gray image is a code over GF(2) with n=64, k=13 and d=20.
This code was found by Heurico 1.16 in 0.0231 seconds.