The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^5+153x^6+360x^7+973x^8+356x^9+150x^10+24x^11+2x^12+2x^13+1x^14

The gray image is a code over GF(2) with n=64, k=11 and d=20.
This code was found by Heurico 1.16 in 0.00401 seconds.