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 X X 1 X 1 1 1 1 X 1 X X 1 1 1 1 X 1 1 0 X^2 0 0 0 0 0 0 0 0 X^2 2X^2 2X^2 X^2 X^2 X^2 0 2X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 2X^2 2X^2 0 0 0 X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 0 X^2 X^2 2X^2 0 X^2 0 X^2 X^2 0 0 2X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 2X^2 2X^2 2X^2 0 0 2X^2 X^2 2X^2 X^2 0 X^2 X^2 0 2X^2 2X^2 0 X^2 X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 2X^2 0 2X^2 0 0 2X^2 X^2 X^2 2X^2 0 X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 0 2X^2 X^2 2X^2 2X^2 X^2 X^2 0 X^2 X^2 0 0 0 2X^2 X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 0 2X^2 2X^2 0 2X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 0 2X^2 X^2 0 X^2 0 X^2 0 2X^2 2X^2 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 X^2 0 X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 X^2 X^2 0 2X^2 X^2 X^2 X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 0 0 0 0 0 0 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 X^2 0 0 2X^2 X^2 2X^2 0 2X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 2X^2 X^2 2X^2 0 0 X^2 X^2 0 2X^2 0 0 2X^2 X^2 2X^2 0 X^2 0 0 2X^2 0 2X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+36x^132+104x^135+168x^138+288x^141+444x^144+4374x^146+536x^147+342x^150+106x^153+38x^156+28x^159+30x^162+22x^165+22x^168+4x^171+8x^174+4x^177+2x^180+2x^183+2x^198 The gray image is a linear code over GF(3) with n=657, k=8 and d=396. This code was found by Heurico 1.16 in 0.557 seconds.