The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 generates a code of length 28 over Z4 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+330x^16+224x^23+616x^24+176x^26+1120x^27+672x^31+77x^32+672x^34+32x^35+176x^42 The gray image is a code over GF(2) with n=56, k=12 and d=16. This code was found by Heurico 1.16 in 0.673 seconds.