The generator matrix 1 1 1 1 2 4 1 0 12 8 4 12 12 0 generates a code of length 7 over Z16 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+18x^6+24x^7+19x^8+2x^10 The gray image is a code over GF(2) with n=56, k=6 and d=24. This code was found by Heurico 1.16 in 0.000195 seconds.