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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 2 1 2 2 1 2 1 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 0 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 2 2 0 0 0 0 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 2 2 2 2 2 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 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 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 2 2 0 2 2 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 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 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 0 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 2 0 0 0 2 2 0 0 0 0 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 2 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 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 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 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 0 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 2 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 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 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 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 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 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 2 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 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 generates a code of length 90 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+68x^70+144x^72+229x^74+323x^76+380x^78+4x^79+439x^80+44x^81+492x^82+220x^83+564x^84+660x^85+572x^86+1320x^87+579x^88+1848x^89+600x^90+1848x^91+580x^92+1320x^93+605x^94+660x^95+574x^96+220x^97+518x^98+44x^99+457x^100+4x^101+342x^102+273x^104+195x^106+116x^108+78x^110+38x^112+14x^114+7x^116+2x^118+1x^124+1x^158 The gray image is a code over GF(2) with n=180, k=14 and d=70. This code was found by Heurico 1.16 in 93.3 seconds.