The generator matrix

 1  1  1  1  1  2  1  1
 0  2  0  0  0  4  2  8
 0  0  2  0  0  2  2  0
 0  0  0  2  0  2  4  0
 0  0  0  0  2  2 12  4

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

Homogenous weight enumerator: w(x)=1x^0+32x^3+194x^4+946x^5+3337x^6+11048x^7+34405x^8+11068x^9+3346x^10+936x^11+184x^12+34x^13+5x^14

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 0.646 seconds.