The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 0 2 2 2 2 0 1 2 2 1 1 1 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 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 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 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+80x^64+59x^66+208x^68+10x^69+146x^70+30x^71+302x^72+90x^73+236x^74+222x^75+311x^76+380x^77+294x^78+576x^79+297x^80+744x^81+270x^82+732x^83+296x^84+578x^85+328x^86+382x^87+263x^88+218x^89+282x^90+102x^91+166x^92+24x^93+243x^94+4x^95+74x^96+4x^97+131x^98+40x^100+42x^102+7x^104+14x^106+3x^108+2x^110+1x^126 The gray image is a code over GF(2) with n=164, k=13 and d=64. This code was found by Heurico 1.16 in 42.3 seconds.