The generator matrix

 1  1  1  1  2  2  2  1
 0  2  0  2  2  2 10  0
 0  0  2  2  6  2  6  0
 0  0  0  8  0  8  8  0
 0  0  0  0  8  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+26x^4+140x^5+224x^6+692x^7+1930x^8+692x^9+224x^10+140x^11+26x^12+1x^16

The gray image is a code over GF(2) with n=64, k=12 and d=16.
This code was found by Heurico 1.16 in 0.00599 seconds.