The generator matrix

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

generates a code of length 8 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+12x^2+52x^4+116x^6+512x^7+2710x^8+512x^9+116x^10+52x^12+12x^14+1x^16

The gray image is a code over GF(2) with n=64, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00276 seconds.