The generator matrix

 1  0  0  0  1  1  1  1
 0  1  0  0  2  5  0 12
 0  0  1  0  3  1  5  4
 0  0  0  1  1  2  6  4
 0  0  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+82x^4+1362x^5+5705x^6+29096x^7+58565x^8+29116x^9+5714x^10+1352x^11+72x^12+2x^13+5x^14

The gray image is a code over GF(2) with n=64, k=17 and d=16.
This code was found by Heurico 1.16 in 5 seconds.