The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 0 2 1 1 1 1 0 1 1 0 1 1 1 1 0 2 0 2 1 1 1 1 1 1 1 1 0 0 2 2 0 0 2 1 1 1 1 1 1 2 0 1 2 0 1 1 0 1 1 0 3 1 2 1 1 0 3 1 0 3 1 0 3 1 1 0 3 0 3 1 0 3 1 2 3 2 3 1 1 2 2 2 3 1 0 0 0 1 1 1 1 1 2 1 1 2 1 0 2 0 1 1 1 1 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 2 generates a code of length 63 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+28x^57+42x^58+64x^59+83x^60+40x^61+41x^62+28x^63+14x^64+24x^65+28x^66+28x^67+20x^68+24x^69+4x^71+12x^73+9x^74+4x^75+9x^76+7x^78+1x^80+1x^90 The gray image is a code over GF(2) with n=126, k=9 and d=57. This code was found by Heurico 1.16 in 29.7 seconds.