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 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 2 2 2 2 2 1 1 2 1 1 1 1 0 2 0 0 0 0 0 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 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 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 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 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 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 0 2 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+83x^62+180x^64+248x^66+314x^68+408x^70+527x^72+723x^74+1208x^76+1944x^78+2538x^80+2547x^82+1962x^84+1238x^86+778x^88+504x^90+404x^92+317x^94+177x^96+132x^98+76x^100+42x^102+23x^104+5x^106+3x^108+1x^114+1x^140 The gray image is a code over GF(2) with n=162, k=14 and d=62. This code was found by Heurico 1.16 in 91.5 seconds.