The generator matrix 1 0 0 1 1 1 2 1 1 0 1 0 1 2 1 1 2 1 1 2 1 1 0 1 1 0 1 0 1 2 2 1 0 2 1 1 1 2 1 1 0 1 1 0 0 1 2 1 0 1 1 1 1 2 0 0 2 2 0 1 0 0 1 3 1 0 2 0 1 1 3 1 2 2 2 2 0 2 2 0 2 2 0 2 1 1 1 1 1 3 1 1 3 0 2 0 3 1 0 0 2 0 1 3 1 1 1 3 3 1 1 1 1 1 0 1 0 0 1 1 1 0 1 2 3 1 3 2 2 3 1 2 1 0 3 1 2 3 1 0 1 1 1 0 3 0 1 0 2 3 2 0 1 1 3 0 0 2 3 2 1 3 0 0 1 1 1 2 2 2 3 3 1 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 2 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+105x^56+128x^58+7x^64+14x^72+1x^88 The gray image is a code over GF(2) with n=116, k=8 and d=56. This code was found by Heurico 1.16 in 0.892 seconds.