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 0 X^2 0 0 0 0 0 0 0 0 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 2X^2 0 X^2 0 X^2 0 2X^2 2X^2 0 X^2 X^2 X^2 X^2 2X^2 0 X^2 2X^2 0 0 2X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 0 X^2 X^2 0 X^2 X^2 2X^2 0 0 X^2 X^2 0 2X^2 X^2 2X^2 2X^2 0 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 0 X^2 X^2 0 2X^2 2X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 2X^2 0 X^2 2X^2 0 2X^2 2X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 2X^2 X^2 X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 0 0 2X^2 2X^2 X^2 2X^2 0 2X^2 X^2 2X^2 0 X^2 0 X^2 X^2 0 2X^2 X^2 0 2X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 0 X^2 X^2 0 2X^2 0 0 X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 0 0 X^2 2X^2 0 0 0 X^2 2X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 0 0 2X^2 2X^2 X^2 0 0 X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 X^2 2X^2 0 0 2X^2 0 2X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 0 0 2X^2 2X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 0 0 2X^2 X^2 0 0 X^2 2X^2 X^2 2X^2 0 0 2X^2 X^2 2X^2 2X^2 0 0 X^2 X^2 X^2 X^2 0 2X^2 2X^2 0 X^2 0 0 X^2 2X^2 2X^2 X^2 0 0 0 2X^2 X^2 0 0 0 0 0 X^2 2X^2 X^2 0 X^2 X^2 X^2 2X^2 0 2X^2 X^2 0 2X^2 X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 0 0 0 2X^2 X^2 X^2 2X^2 2X^2 2X^2 0 0 0 0 2X^2 0 X^2 2X^2 X^2 X^2 0 X^2 2X^2 0 X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 0 0 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 0 2X^2 X^2 0 0 X^2 0 2X^2 X^2 0 0 2X^2 X^2 2X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 0 0 generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+60x^180+54x^182+72x^183+216x^185+1458x^186+216x^188+20x^189+88x^192+2x^273 The gray image is a linear code over GF(3) with n=837, k=7 and d=540. This code was found by Heurico 1.16 in 0.415 seconds.