The generator matrix

 1  1  1  1  2  2  1  1
 0  2  0  6  2 14  8  8
 0  0 12  0  0  4  8  0
 0  0  0 12  0  4  0  8
 0  0  0  0  4  4  4 12

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

Homogenous weight enumerator: w(x)=1x^0+73x^4+32x^5+588x^6+1248x^7+4307x^8+1248x^9+592x^10+32x^11+67x^12+4x^14

The gray image is a code over GF(2) with n=64, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0212 seconds.