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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 0 X^2 0 0 0 0 0 0 0 0 X^2 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 0 0 X^2 X^2 2X^2 X^2 0 0 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 0 2X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 2X^2 X^2 2X^2 0 2X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 0 X^2 2X^2 0 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 0 0 X^2 X^2 2X^2 2X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 2X^2 2X^2 0 2X^2 X^2 0 X^2 X^2 2X^2 X^2 X^2 0 X^2 0 2X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 2X^2 X^2 2X^2 0 2X^2 0 X^2 2X^2 X^2 2X^2 0 2X^2 X^2 2X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 0 X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 X^2 X^2 2X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 2X^2 X^2 X^2 X^2 2X^2 0 0 0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 0 0 2X^2 0 X^2 0 0 0 X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 0 0 2X^2 X^2 X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 2X^2 0 0 0 0 2X^2 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 X^2 0 0 X^2 2X^2 X^2 2X^2 0 0 0 2X^2 2X^2 0 0 0 0 0 0 X^2 2X^2 2X^2 0 2X^2 2X^2 2X^2 0 2X^2 X^2 X^2 2X^2 2X^2 0 0 0 X^2 X^2 X^2 X^2 0 2X^2 2X^2 2X^2 0 2X^2 X^2 X^2 2X^2 2X^2 0 0 0 X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 0 0 X^2 0 X^2 2X^2 0 X^2 2X^2 0 2X^2 X^2 X^2 X^2 0 X^2 2X^2 0 0 0 0 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 0 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 X^2 2X^2 0 0 generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+60x^180+54x^184+72x^186+216x^187+1458x^188+20x^189+216x^190+88x^195+2x^276 The gray image is a linear code over GF(3) with n=846, k=7 and d=540. This code was found by Heurico 1.16 in 0.43 seconds.