The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 0 2X 1 X 1 1 X 1 1 1 1 X 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 2X 1 1 1 2X 2X 0 0 1 X X 1 1 1 1 1 X 1 2X 1 1 1 X 1 1 2X 1 1 1 1 1 1 1 1 X 0 1 1 2X 1 1 1 1 1 2X 2X X X X 1 1 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X+1 X+2 1 1 2 1 X+1 X 1 2X+2 0 1 2 0 2X+1 2X X 2X 1 2 2X+2 2X X+1 2X+1 1 0 1 X 1 1 2X+2 X 2 1 2X 1 1 X+1 1 1 X+2 X X+1 2X X+1 X 2X+2 1 0 2X+2 2X 1 X+2 X+2 X 0 0 X+2 2X 1 2X+1 2X X 1 1 2 0 1 2 X X+2 2X 2X+2 1 1 1 1 0 X 1 2X+1 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 2 X+1 2 X X 1 2X+1 X+1 2X+2 2X X 0 1 1 2X+2 X+2 0 1 X 2X+1 0 1 X+2 X X+1 2X+2 2X 2X+1 2X+2 0 X+1 2X 2 2 1 X+1 2X+1 1 X 0 X+2 X+2 2 2 2X+2 1 2X+1 X+2 1 2X+2 0 X+2 2 1 1 X+1 2X 0 2X X X+2 X+1 1 2X 2X 2X 2X+1 2X X+2 X 2X+2 X 2 X+1 2X+1 X+1 2X+1 0 2X+2 1 0 generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+26x^180+102x^181+162x^182+32x^183+120x^184+162x^185+12x^186+72x^187+12x^190+4x^192+6x^193+2x^195+4x^204+12x^208 The gray image is a linear code over GF(3) with n=276, k=6 and d=180. This code was found by Heurico 1.13 in 0.171 seconds.