The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 0 0 0 1 1 1 1 2 0 2 0 2 0 2 1 1 1 1 2 2 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 generates a code of length 53 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+13x^56+2x^60 The gray image is a code over GF(2) with n=106, k=4 and d=56. This code was found by Heurico 1.16 in 0.0278 seconds.