The generator matrix

 1  0  1  1  1  0  2  2
 0  1 11  6  5  1  0  8
 0  0 12  0  4  0  4  4
 0  0  0 12  4 12  4  0
 0  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  8
 0  0  0  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+156x^4+384x^5+1920x^6+6784x^7+14278x^8+6784x^9+1920x^10+384x^11+156x^12+1x^16

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 0.199 seconds.