The generator matrix 1 0 0 1 1 1 2 1 1 2 1 1 0 2 1 1 2 0 1 1 2 0 1 1 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 2 2 2 2 0 0 1 1 1 1 0 1 0 2 1 3 1 0 2 0 1 3 1 1 3 1 1 1 3 1 1 1 2 0 2 2 0 2 0 0 2 2 2 2 0 0 1 1 3 3 3 3 1 1 1 1 1 1 1 1 1 1 0 0 2 2 0 0 1 1 3 2 1 2 3 1 1 0 2 3 3 2 2 3 1 0 0 1 2 3 1 0 1 1 0 2 2 0 1 3 3 1 1 3 3 1 0 2 2 0 0 2 2 0 1 3 3 1 0 2 2 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+58x^56+3x^64+2x^72 The gray image is a code over GF(2) with n=112, k=6 and d=56. This code was found by Heurico 1.16 in 0.0224 seconds.