The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 1 0 1 0 0 2 2 1 0 0 1 2 0 2 2 1 0 2 1 1 2 2 0 1 1 1 2 0 2 1 2 1 1 0 2 0 0 2 1 2 1 1 0 2 1 1 1 0 0 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 3 2 1 1 2 0 2 1 0 1 1 0 1 0 1 2 0 1 0 0 2 1 1 2 1 2 1 3 2 2 1 1 1 2 0 0 1 3 2 0 1 1 1 1 0 2 0 1 0 1 1 0 2 3 0 1 1 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 3 1 0 1 3 1 1 0 2 0 1 0 2 3 1 1 1 1 2 1 0 3 2 0 1 1 2 0 1 1 3 0 0 1 2 1 2 1 2 0 0 0 3 1 1 2 0 0 1 1 1 3 3 3 1 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 0 3 0 0 2 3 3 3 1 2 0 3 1 1 3 0 1 1 2 1 0 2 2 0 3 1 2 1 1 0 0 0 3 1 2 1 0 0 2 1 3 0 3 2 1 0 1 3 1 0 1 1 2 3 0 1 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+54x^68+98x^69+178x^70+214x^71+255x^72+296x^73+336x^74+354x^75+415x^76+394x^77+434x^78+442x^79+457x^80+476x^81+415x^82+464x^83+377x^84+462x^85+376x^86+370x^87+290x^88+232x^89+201x^90+154x^91+147x^92+70x^93+90x^94+46x^95+44x^96+20x^97+15x^98+4x^99+5x^100+2x^102+1x^104+2x^108+1x^122 The gray image is a code over GF(2) with n=162, k=13 and d=68. This code was found by Heurico 1.16 in 13.5 seconds.