The generator matrix

 1  1  1  1  2  2  2  1
 0  2  0 14  6  6  8  0
 0  0 12  4  0 12  4  0
 0  0  0  8  0  0  8  0
 0  0  0  0  8  0  8  0
 0  0  0  0  0  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+55x^4+48x^5+310x^6+720x^7+1823x^8+720x^9+324x^10+48x^11+41x^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 0.00607 seconds.