The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^4+230x^6+256x^7+2951x^8+256x^9+244x^10+69x^12+6x^14

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 0.00743 seconds.