The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 0 X 1 1 1 X 1 2X 1 1 1 1 1 2X 1 1 1 1 1 1 0 X X 1 1 1 1 0 1 1 0 1 1 X 0 1 X 1 1 2X 1 1 1 2X 1 1 1 X 1 2X 1 1 1 X 1 0 1 2X 2X 1 0 1 X 1 1 1 1 2X 1 1 0 1 1 2X 1 1 1 2X 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+1 2X+2 X+1 1 1 X+2 X 2 1 X+2 0 1 2X+2 X+1 X 0 1 2 X+1 0 2X X+1 2X+1 1 1 2X 2X+2 X 2X 2X+1 1 2 2X+2 1 X+1 2X+1 1 2X 2X 1 X 2 1 2X+1 X+1 2X+2 1 2X X+2 2X+2 0 X+2 2X X 1 0 1 1 1 1 1 1 X+2 X X X 1 0 0 X 1 2X+1 X+2 1 X+1 2X 1 2X+2 X 2X+1 X 1 0 0 1 2X+1 1 2X 2X+2 2 X 1 2X+2 2X+1 X+1 X+2 1 2 X+1 1 X 2X+2 1 X+2 0 X 2X+1 X+2 X+2 X+1 2X 2X 1 2X+1 2 2X+1 2 1 2X X 2X+2 0 2 X+2 X+1 2X X+2 1 2X+1 1 X+2 0 0 X X X 0 2 2X X 1 X+2 1 2X+1 1 2X 0 2X+2 X+2 X+1 X 2X 0 2X+1 X+1 1 2 1 2X+1 X+1 1 X+2 2 2X+1 X+2 X+1 1 0 X+1 2X+2 2X+2 X+1 1 X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 181. Homogenous weight enumerator: w(x)=1x^0+132x^181+168x^182+42x^183+126x^184+102x^185+24x^186+48x^187+48x^188+2x^189+6x^190+6x^191+6x^192+2x^195+12x^202+2x^204+2x^213 The gray image is a linear code over GF(3) with n=276, k=6 and d=181. This code was found by Heurico 1.16 in 7.82 seconds.