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 1 1 1 1 1 1 X 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 0 X^2 2X^2 0 X^2 2X^2 2X^2 X^2 0 2X^2 0 0 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 0 2X^2 2X^2 0 X^2 2X^2 2X^2 X^2 2X^2 0 0 X^2 0 X^2 X^2 2X^2 2X^2 0 2X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 0 X^2 0 X^2 2X^2 0 X^2 2X^2 X^2 2X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 2X^2 X^2 0 0 X^2 2X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 2X^2 2X^2 X^2 X^2 0 2X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 0 0 0 2X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 X^2 X^2 0 X^2 2X^2 2X^2 2X^2 0 0 0 X^2 2X^2 X^2 X^2 0 0 2X^2 0 X^2 2X^2 2X^2 0 X^2 0 0 0 X^2 0 X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 0 0 X^2 2X^2 X^2 0 X^2 0 X^2 X^2 0 0 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 2X^2 0 2X^2 0 0 0 2X^2 2X^2 0 0 2X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 2X^2 X^2 0 2X^2 0 X^2 0 0 X^2 X^2 0 X^2 2X^2 2X^2 2X^2 0 0 X^2 2X^2 2X^2 X^2 0 0 X^2 2X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 0 0 X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 0 0 2X^2 2X^2 0 0 0 X^2 X^2 2X^2 2X^2 0 X^2 2X^2 0 0 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 0 0 X^2 2X^2 0 X^2 X^2 0 2X^2 X^2 2X^2 2X^2 X^2 2X^2 0 0 0 0 X^2 0 X^2 2X^2 2X^2 0 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 0 X^2 2X^2 0 0 0 generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 189. Homogenous weight enumerator: w(x)=1x^0+116x^189+162x^192+1458x^194+324x^195+114x^198+10x^207+2x^288 The gray image is a linear code over GF(3) with n=873, k=7 and d=567. This code was found by Heurico 1.16 in 0.633 seconds.