The generator matrix 1 0 0 0 1 1 1 2 1 1 2 0 1 1 2 1 1 1 1 1 1 1 0 1 0 0 2 0 2 0 2 1 0 0 0 0 2 1 1 2 1 1 0 1 1 1 1 0 2 2 2 1 1 0 2 1 1 2 0 2 0 1 2 0 1 0 0 0 0 0 2 1 3 1 1 1 1 1 2 3 1 2 2 3 0 1 3 2 0 1 1 1 0 2 1 1 1 2 0 1 2 2 0 2 3 1 2 3 0 2 1 2 0 1 2 0 1 2 2 1 1 1 2 1 3 1 0 0 1 0 0 1 3 1 3 1 2 1 2 0 1 2 1 1 3 0 2 3 3 0 1 2 0 2 2 1 0 3 0 1 1 0 1 1 3 2 2 1 3 2 3 0 1 0 1 1 2 0 0 2 1 1 0 1 0 0 1 2 2 0 0 0 1 1 1 0 3 2 3 3 3 3 2 2 2 3 0 3 1 1 2 3 0 3 1 0 0 1 0 1 2 1 2 1 1 3 0 3 1 1 1 3 0 1 1 0 2 1 2 1 2 3 3 2 3 0 3 0 1 1 2 1 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 generates a code of length 63 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+37x^56+74x^57+89x^58+102x^59+84x^60+92x^61+94x^62+70x^63+59x^64+56x^65+48x^66+28x^67+24x^68+34x^69+12x^70+16x^71+31x^72+20x^73+11x^74+6x^75+16x^76+10x^77+2x^78+2x^79+4x^80+2x^81 The gray image is a code over GF(2) with n=126, k=10 and d=56. This code was found by Heurico 1.16 in 0.193 seconds.