The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 0 0 1 1 2 1 1 1 1 0 1 1 2 2 0 1 1 0 1 2 1 0 2 2 0 0 0 1 1 1 1 1 2 0 0 1 1 2 1 1 1 1 2 1 0 1 2 1 0 0 1 2 2 1 1 1 1 2 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 3 0 1 2 1 3 2 0 2 1 2 1 0 3 1 2 1 0 0 1 2 0 1 1 3 2 1 2 2 2 3 1 2 2 2 3 1 1 3 1 2 1 2 0 0 0 2 1 2 1 0 0 0 1 0 2 2 1 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 3 1 1 3 1 1 1 1 3 1 3 3 3 3 1 2 2 1 1 1 0 1 2 3 0 0 1 2 0 2 0 3 2 3 3 2 1 1 2 0 1 2 1 1 0 2 1 0 3 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 3 2 2 2 0 3 1 1 0 0 0 3 2 0 0 1 0 1 2 1 2 2 3 1 0 3 3 1 1 2 3 2 1 1 3 2 1 0 2 0 3 1 3 1 3 2 0 2 0 3 0 1 1 1 1 0 0 2 0 0 0 3 1 0 1 0 2 0 0 1 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 1 2 3 3 2 1 3 0 3 2 2 1 1 0 1 0 3 0 3 0 2 3 2 1 1 1 1 1 2 2 1 0 3 1 2 0 1 2 3 1 1 3 1 3 2 3 3 2 3 2 0 0 0 2 0 1 0 3 2 0 0 0 0 1 2 0 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 1 2 3 3 0 1 0 1 2 2 3 2 1 3 1 0 0 1 0 0 2 1 1 1 1 2 1 2 3 0 1 0 0 1 2 3 1 3 0 2 2 3 1 1 1 0 0 0 1 0 1 3 0 2 2 1 0 1 2 3 0 2 0 2 2 3 1 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+100x^68+118x^69+253x^70+324x^71+396x^72+502x^73+629x^74+686x^75+669x^76+690x^77+751x^78+828x^79+855x^80+916x^81+835x^82+994x^83+913x^84+824x^85+818x^86+818x^87+694x^88+614x^89+537x^90+448x^91+359x^92+240x^93+231x^94+102x^95+94x^96+54x^97+36x^98+24x^99+15x^100+8x^101+3x^102+2x^105+2x^106+1x^130 The gray image is a code over GF(2) with n=164, k=14 and d=68. This code was found by Heurico 1.16 in 96.6 seconds.