The generator matrix

 1  0  1  1  1  8  1  1
 0  1 11  6  1  1  8  8
 0  0 12  0  0  4  0  8
 0  0  0 12  0  4  8  8
 0  0  0  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+73x^4+96x^5+716x^6+3232x^7+8147x^8+3232x^9+720x^10+96x^11+67x^12+4x^14

The gray image is a code over GF(2) with n=64, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0526 seconds.