The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 1 1 1 1 2 1 2 1 1 0 0 0 1 0 0 2 1 2 1 1 1 1 2 2 1 2 1 1 1 2 1 1 0 0 1 2 1 2 0 1 2 2 0 1 1 1 2 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 1 3 0 2 0 2 1 2 1 1 1 0 2 0 1 0 1 2 3 2 2 2 1 1 2 1 3 1 0 1 3 3 0 2 1 0 3 1 1 3 2 1 0 3 3 2 1 1 3 1 3 1 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 2 1 1 0 0 0 2 3 0 3 1 2 1 0 0 1 1 0 3 0 1 3 3 2 1 3 0 3 3 3 2 2 1 0 0 0 0 1 1 1 3 2 1 2 3 2 1 3 3 0 1 3 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 2 1 1 2 1 2 0 0 3 3 0 0 3 0 0 1 2 3 3 1 3 3 2 2 3 2 3 3 0 1 3 2 1 3 2 1 2 3 1 0 1 1 1 0 0 0 0 1 3 2 1 3 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 generates a code of length 71 over Z4 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+20x^57+126x^58+154x^59+275x^60+364x^61+514x^62+450x^63+520x^64+678x^65+815x^66+888x^67+771x^68+928x^69+1133x^70+1104x^71+879x^72+1058x^73+1070x^74+914x^75+690x^76+740x^77+641x^78+442x^79+316x^80+258x^81+235x^82+124x^83+99x^84+48x^85+60x^86+20x^87+27x^88+2x^89+10x^90+5x^92+3x^94+1x^96+1x^102 The gray image is a code over GF(2) with n=142, k=14 and d=57. This code was found by Heurico 1.16 in 80.9 seconds.