The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 2X^2+X 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 1 2X^2+X 1 1 X^2+X 1 1 1 1 X^2+2X 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X^2 2X 1 1 1 1 1 1 1 1 2X 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 1 2X^2+1 2X^2+2X+1 2 1 2X^2+1 1 2X^2+X+2 0 1 2X^2+X 2X+2 2X X+1 0 1 2X^2+X 2 2X^2+X+2 2X+2 2X^2+1 2X 1 X+1 0 X^2+X+2 2X 1 2 2X^2+2X+1 1 2X^2+2X+1 2X+2 2X^2+X 2X^2+1 1 X+1 2X^2+X+2 X^2 X+2 X^2+X+1 X^2+2 1 X^2+1 X^2+2X X^2+2X+2 1 X^2+2X+1 X^2+1 X^2+X+2 2X^2 X^2+X 2X^2+1 1 1 2X^2+X+2 X+1 2X^2+X+1 2X^2+X+1 2X^2+2 2X^2+X+2 0 X^2 1 2 0 0 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 2X^2 0 0 0 0 X^2 2X^2 2X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 0 2X^2 0 2X^2 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 2X^2 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 2X^2 X^2 X^2 0 0 0 X^2 2X^2 2X^2 X^2 X^2 X^2 0 0 0 2X^2 2X^2 2X^2 X^2 0 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 0 0 0 0 2X^2 0 0 2X^2 X^2 0 X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 0 X^2 0 0 X^2 X^2 2X^2 2X^2 X^2 0 X^2 0 X^2 0 0 2X^2 0 X^2 X^2 0 2X^2 0 X^2 X^2 2X^2 2X^2 X^2 0 2X^2 0 X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 0 0 2X^2 0 2X^2 X^2 0 X^2 2X^2 0 0 2X^2 X^2 2X^2 2X^2 0 2X^2 0 X^2 X^2 2X^2 2X^2 X^2 2X^2 0 0 X^2 0 2X^2 2X^2 X^2 0 0 X^2 X^2 2X^2 0 X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+206x^141+54x^142+828x^143+832x^144+450x^145+1980x^146+1048x^147+684x^148+3348x^149+1034x^150+1026x^151+3654x^152+1132x^153+630x^154+1692x^155+540x^156+72x^157+162x^158+182x^159+68x^162+46x^165+8x^171+2x^174+2x^180+2x^192 The gray image is a linear code over GF(3) with n=675, k=9 and d=423. This code was found by Heurico 1.16 in 1.46 seconds.