The generator matrix

 1  1  1  1  2  2  1  1
 0  2 12  6  6  6  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  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^4+32x^5+72x^6+96x^7+586x^8+96x^9+72x^10+32x^11+18x^12+1x^16

The gray image is a code over GF(2) with n=64, k=10 and d=16.
This code was found by Heurico 1.16 in 0.000862 seconds.