The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 0 1 2 1 1 1 1 0 2 0 2 1 1 1 1 2 0 2 1 1 0 1 0 1 1 1 1 0 2 1 2 1 1 2 1 1 1 2 0 2 0 0 0 2 1 1 2 1 1 2 1 1 1 0 1 1 1 0 2 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 0 1 1 1 2 0 1 2 1 1 1 1 2 2 0 1 1 1 3 3 0 2 0 3 1 2 1 1 2 3 1 1 1 2 2 2 0 1 2 1 1 1 1 1 1 0 1 2 2 0 0 2 2 2 1 3 3 2 1 2 0 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 1 3 1 2 1 0 3 1 3 0 1 3 3 3 0 2 3 2 1 0 1 1 1 0 1 2 2 2 1 0 3 1 0 1 2 2 1 2 1 0 1 1 3 3 2 1 1 1 3 1 0 3 3 1 1 2 2 1 2 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 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 0 2 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 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+8x^65+79x^66+84x^67+194x^68+152x^69+330x^70+288x^71+429x^72+500x^73+564x^74+690x^75+760x^76+902x^77+827x^78+920x^79+964x^80+976x^81+940x^82+1058x^83+813x^84+930x^85+777x^86+720x^87+538x^88+468x^89+372x^90+278x^91+279x^92+122x^93+133x^94+56x^95+79x^96+32x^97+57x^98+2x^99+33x^100+6x^101+13x^102+5x^104+4x^106+1x^108 The gray image is a code over GF(2) with n=162, k=14 and d=65. This code was found by Heurico 1.16 in 54.6 seconds.