The generator matrix

 1  1  1  1  2  1  1  2
 0  2  0  0  2  0  2  2
 0  0  2  0  2  2  2  0
 0  0  0  2  2  6  4  6
 0  0  0  0  4  4 12  4

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

Homogenous weight enumerator: w(x)=1x^0+125x^4+448x^5+1916x^6+6720x^7+14347x^8+6720x^9+1920x^10+448x^11+119x^12+4x^14

The gray image is a code over GF(2) with n=64, k=15 and d=16.
This code was found by Heurico 1.16 in 0.301 seconds.