The generator matrix
1 0 1 1 1 1
0 1 1 12 11 0
0 0 2 6 4 0
0 0 0 8 8 8
generates a code of length 6 over Z16 who´s minimum homogenous weight is 3.
Homogenous weight enumerator: w(x)=1x^0+30x^3+146x^4+642x^5+2460x^6+642x^7+141x^8+30x^9+4x^10
The gray image is a code over GF(2) with n=48, k=12 and d=12.
This code was found by Heurico 1.16 in 0.00273 seconds.