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 X 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 X 1 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X X 0 X 0 2X X 0 2X X 2X 2X 2X X X X 0 2X 2X 0 X 0 0 X 2X 2X X 2X 2X X 0 2X 2X 2X 0 2X X 0 2X 0 0 X X 2X 0 X X X X 0 X 2X X X 2X 2X 0 X 0 0 X 0 2X 2X 0 X 0 0 2X 0 X X 2X 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 0 2X 2X 0 X X 2X 0 X 0 2X 2X 2X X 2X 0 2X 2X X 2X 2X 0 X 0 2X 2X 0 X 0 X 0 2X 0 0 2X 2X X 0 2X X X 0 0 2X 0 X X 2X 2X 2X X X X X 2X 0 2X 2X 0 2X X X X 0 0 0 0 0 X 0 X 2X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X 0 2X 2X 0 2X 0 X 2X 2X X X X 2X 0 0 2X 2X X 2X 2X X X 2X 0 2X X 2X 0 2X 0 X 2X 0 0 2X 2X X 2X 0 2X X 2X 0 0 2X 0 0 0 X 2X 2X 2X X 0 0 X X 0 2X X X 2X 2X X 2X X 0 0 0 2X 0 2X 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 2X 2X 0 X 2X 0 2X X 0 X 0 X 0 2X 0 2X 0 2X X X 0 2X 2X X 2X 2X 0 X 0 2X X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 X 0 0 2X 0 2X 0 X 2X 2X 0 2X X 0 2X X 2X X X 0 2X 2X X 2X 0 X 0 0 X 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X 2X 0 2X 0 X 0 0 2X X 2X 0 2X X 0 X X 0 X X 0 X 2X 0 2X X X X X 0 2X 0 2X 2X 2X 0 2X 0 X X X 2X 0 0 2X 0 2X 2X 2X X 0 0 0 0 0 0 0 0 0 X 2X X X 0 X 2X X X X X 2X 2X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+64x^171+110x^174+30x^175+124x^177+120x^178+92x^180+300x^181+62x^183+510x^184+46x^186+366x^187+52x^189+132x^190+34x^192+30x^195+30x^198+22x^201+22x^204+14x^207+4x^210+6x^213+8x^216+2x^219+4x^222+2x^258 The gray image is a linear code over GF(3) with n=276, k=7 and d=171. This code was found by Heurico 1.16 in 0.313 seconds.