The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 2 1 0 2 2 1 0 1 2 0 1 2 0 1 1 1 0 1 1 1 2 0 2 2 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 2 1 1 0 1 1 1 2 1 0 1 1 0 0 0 1 1 1 1 1 2 0 2 1 1 2 0 0 1 0 0 0 0 0 0 0 2 0 0 2 2 2 2 1 3 1 3 1 1 3 1 1 1 3 1 1 3 1 1 1 1 1 1 0 0 0 2 2 1 1 1 1 1 0 1 3 2 0 1 2 1 0 1 2 2 0 0 3 0 1 2 1 0 1 1 1 0 3 0 1 2 0 2 1 1 2 3 1 1 0 0 1 0 0 0 1 0 2 0 1 3 1 3 1 1 2 0 2 3 1 2 3 3 3 0 1 2 3 1 1 0 0 2 2 1 0 3 3 2 0 3 1 1 0 0 2 2 1 1 1 2 0 2 1 2 0 1 1 1 2 3 3 2 0 2 2 2 2 1 3 3 0 2 0 2 0 2 2 3 3 1 0 0 0 1 0 1 1 2 1 1 2 2 1 1 2 1 1 0 2 0 3 3 2 0 0 3 3 0 1 1 3 3 3 3 2 2 3 2 3 2 0 3 1 3 1 0 1 0 1 3 3 2 2 2 2 0 3 1 3 0 3 2 3 3 1 0 3 0 0 2 0 1 2 1 3 1 3 0 1 2 3 0 0 0 0 0 1 1 0 1 0 3 2 3 0 1 1 3 1 2 1 3 2 0 2 1 2 2 1 3 3 3 0 3 0 1 3 3 1 0 1 1 0 1 1 0 2 1 2 0 2 0 0 3 2 0 3 3 3 3 1 2 2 0 1 1 0 1 2 2 2 2 0 0 3 2 0 1 1 2 0 0 2 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 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 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 generates a code of length 82 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+194x^72+362x^74+478x^76+492x^78+464x^80+416x^82+377x^84+350x^86+327x^88+258x^90+198x^92+76x^94+51x^96+28x^98+19x^100+2x^102+3x^104 The gray image is a code over GF(2) with n=164, k=12 and d=72. This code was found by Heurico 1.16 in 4.1 seconds.