The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^4+374x^6+3215x^8+388x^10+49x^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 0.00558 seconds.