The generator matrix

 1  0  0  1  1  1 10 10
 0  1  0  1  6 15  1  1
 0  0  1  1 11  2  1  1
 0  0  0 12  0  8  4  4
 0  0  0  0 12 12  0  8

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

Homogenous weight enumerator: w(x)=1x^0+131x^4+384x^5+3686x^6+12416x^7+32295x^8+12416x^9+3700x^10+384x^11+117x^12+6x^14

The gray image is a code over GF(2) with n=64, k=16 and d=16.
This code was found by Heurico 1.16 in 0.533 seconds.