The generator matrix

 1  1  1  1  1  1  1  1
 0 12  0  0  0  0  4  8
 0  0 12  0  0  0  4 12
 0  0  0 12  0  4  0  4
 0  0  0  0 12  4  0  8
 0  0  0  0  0  8  8  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+16x^3+68x^4+144x^5+224x^6+352x^7+6582x^8+352x^9+224x^10+144x^11+68x^12+16x^13+1x^16

The gray image is a code over GF(2) with n=64, k=13 and d=12.
This code was found by Heurico 1.16 in 0.0138 seconds.