The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 2 2 0 0 0 1 1 1 2 1 2 1 1 0 1 0 1 1 2 1 0 1 1 1 2 2 1 2 0 1 1 2 0 0 1 1 0 0 0 1 1 1 1 1 2 2 1 1 0 1 2 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 0 1 0 3 2 2 0 2 1 1 0 0 3 2 1 3 2 3 0 1 1 3 1 1 3 2 1 2 0 2 1 1 2 1 2 1 1 1 3 3 3 1 0 1 1 1 0 0 1 1 0 0 3 3 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 1 1 2 1 2 0 0 1 0 3 1 0 0 1 2 0 1 2 1 3 1 2 0 1 0 2 0 2 0 1 3 1 2 1 1 3 2 2 1 1 3 0 2 0 3 2 2 2 2 2 3 2 2 2 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 2 0 3 0 3 3 2 1 1 1 0 2 1 3 3 2 0 2 2 0 3 2 2 2 0 1 0 1 2 2 0 1 3 1 0 2 1 0 1 3 1 0 1 2 1 2 3 2 0 2 1 2 1 3 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 2 1 0 0 1 3 3 2 0 2 3 0 3 2 3 1 1 2 3 2 1 0 1 2 2 2 2 1 1 1 1 0 3 2 2 2 2 1 1 2 1 1 1 2 1 0 1 3 1 2 1 3 0 0 3 3 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 generates a code of length 77 over Z4 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+82x^65+131x^66+224x^67+282x^68+300x^69+401x^70+362x^71+397x^72+422x^73+411x^74+438x^75+449x^76+452x^77+459x^78+466x^79+454x^80+420x^81+366x^82+350x^83+329x^84+274x^85+191x^86+168x^87+113x^88+92x^89+75x^90+36x^91+18x^92+6x^93+13x^94+4x^95+3x^96+1x^98+1x^108+1x^116 The gray image is a code over GF(2) with n=154, k=13 and d=65. This code was found by Heurico 1.16 in 12.5 seconds.