The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 2X 1 1 1 2X 0 1 1 1 1 1 0 1 X 1 1 1 0 2X 1 1 1 0 1 1 1 1 1 X 0 1 1 X X 1 1 1 1 0 1 X 1 X 1 1 1 X 2X 1 1 0 0 2X 2X 1 0 2X X 1 1 1 0 1 1 1 2X 1 2X 1 2X 2X 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 X+2 1 2X+1 X+2 2X+2 1 1 2X+1 X+1 2 1 1 1 2X+2 2X+2 X+1 2X+1 1 2X+2 1 X+2 1 0 1 X X+2 2 1 X 2X+1 X+2 X 2X 2 1 1 0 2X+2 2X 0 2X 2X+1 X 2 2X 1 2X 2X+2 1 2 2X+1 X+1 1 1 2 2X 1 X 1 1 2X+1 0 0 1 X X+1 X+1 1 0 X+1 0 1 2X+1 1 0 1 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 2X+2 X 2 X+2 X+2 2X X+2 2X 1 0 X+1 2X+1 X+1 0 2X 0 X X+1 2X+1 2X+2 2X+1 1 1 2X+2 1 2X+2 2X X+2 1 1 1 2X+2 2X+1 X+2 X+2 2X X+1 0 1 1 2X+2 X+2 2X+1 2X+2 1 X 1 2X+2 X+1 2 1 X+1 X+2 2X+1 0 2X 2X+2 X X+2 1 0 1 1 1 0 2 2X+2 2X 1 X+1 X+1 0 X X+1 1 2 2X+1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 X+1 2X+2 2X X+2 0 X+1 1 X 2X+1 X+1 2 1 X+2 X 2X+2 2 X+1 2X X+2 X X 0 X 2 2 2X+1 2X+1 2X X 2X+2 X+1 X 1 X 2X+1 2 X+2 2X 2 X+1 2 X+2 X+1 1 X+1 X+2 X+2 2X+2 X X 0 2 X+2 2 2X+2 X+1 X 1 0 2X+2 X+2 X 2X+1 2X 2 X X X+2 2X+2 1 2X+2 X 1 X 1 X 2X+2 generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+324x^171+984x^174+1272x^177+1034x^180+834x^183+630x^186+486x^189+426x^192+270x^195+154x^198+60x^201+78x^204+8x^207 The gray image is a linear code over GF(3) with n=273, k=8 and d=171. This code was found by Heurico 1.16 in 0.913 seconds.