The generator matrix

 1  0  1  1  1  8  4  1
 0  1  1  0 11  1  1  0
 0  0  2  6  4  0  2  0
 0  0  0 12  0  4  8  0
 0  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+37x^4+164x^5+786x^6+2912x^7+8587x^8+2904x^9+796x^10+160x^11+31x^12+4x^13+2x^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 0.0394 seconds.