The generator matrix

 1  1  1  1  1  1  1  1
 0  2  0  2  0 12  2 14
 0  0  2  2  0  2  2  0
 0  0  0  4 12 12  0  4
 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+204x^4+256x^5+2240x^6+1792x^7+23782x^8+1792x^9+2240x^10+256x^11+204x^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 0.2 seconds.