The generator matrix

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

generates a code of length 8 over Z16 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+20x^3+92x^4+612x^5+3136x^6+12680x^7+32454x^8+12680x^9+3136x^10+612x^11+92x^12+20x^13+1x^16

The gray image is a code over GF(2) with n=64, k=16 and d=12.
This code was found by Heurico 1.16 in 0.436 seconds.