The generator matrix

 1  0  0  1  1  1  2  1
 0  1  0  1  6  7  1  0
 0  0  1  1  3  2  1  0
 0  0  0  8  0  0  8  0
 0  0  0  0  8  0  8  0
 0  0  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+87x^4+464x^5+2166x^6+6192x^7+14943x^8+6192x^9+2180x^10+464x^11+73x^12+6x^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 0.152 seconds.