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 X X 0 X 2X 0 2X^2+X 2X 2X^2+X X^2+2X 0 X^2 2X^2+X 2X 0 X^2+X 2X^2+2X X^2 2X^2+X X^2+2X X^2 X X^2 X^2+2X X X^2+2X 2X^2 X 2X 0 0 X^2 X^2 2X^2+X 2X^2+X X X 2X X^2+2X 2X X^2+2X X^2 X^2+X X^2+2X 2X^2+X 0 0 2X^2+2X X^2 X^2+X X^2+X X X^2 2X 2X^2+2X 2X^2+2X 0 2X^2+X X^2+X X 2X X^2+2X 2X X^2+2X 2X^2+X X^2+X X 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2+2X 2X^2+2X 2X^2 2X^2 2X^2 X^2+X X^2+X X^2+X 2X^2+2X 2X^2+2X 2X^2+2X 0 2X^2+X 2X 0 2X^2+X 2X X^2 2X^2+X 0 X^2+X X^2 X^2+X 2X^2+X 2X^2+X 0 0 X^2 0 2X^2 0 X^2 2X^2 X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 0 0 2X^2 2X^2 X^2 X^2 X^2 X^2 0 2X^2 0 X^2 0 X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 0 0 0 0 0 0 0 0 2X^2 0 X^2 2X^2 X^2 0 2X^2 0 0 2X^2 X^2 0 0 2X^2 0 2X^2 X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 0 X^2 2X^2 0 2X^2 0 0 X^2 0 0 2X^2 2X^2 X^2 X^2 0 2X^2 X^2 0 0 0 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 0 0 X^2 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 0 0 2X^2 X^2 2X^2 X^2 0 0 0 0 X^2 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 0 X^2 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 0 0 X^2 2X^2 0 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 0 X^2 0 2X^2 0 0 0 0 2X^2 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 2X^2 0 0 generates a code of length 95 over Z3[X]/(X^3) who´s minimum homogenous weight is 186. Homogenous weight enumerator: w(x)=1x^0+216x^186+452x^189+972x^190+468x^192+72x^195+4x^198+2x^279 The gray image is a linear code over GF(3) with n=855, k=7 and d=558. This code was found by Heurico 1.16 in 0.574 seconds.