The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+71x^4+232x^5+2034x^6+6976x^7+14191x^8+6864x^9+2092x^10+256x^11+41x^12+8x^13+2x^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 0.204 seconds.