The generator matrix

 1  0  1  1  1  4  2  1
 0  1  1  0  3  1  4  0
 0  0  2  0  2  4  0  8
 0  0  0  2  2  6  2  8
 0  0  0  0  8  0  8  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+78x^4+370x^5+1753x^6+6792x^7+14765x^8+6812x^9+1762x^10+360x^11+68x^12+2x^13+5x^14

The gray image is a code over GF(2) with n=64, k=15 and d=16.
This code was found by Heurico 1.16 in 0.191 seconds.