The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 X 1 2X 1 1 1 X 1 1 1 0 1 1 1 1 1 2X 1 2X 1 1 X 1 1 1 1 2X 1 1 1 1 0 1 2X 1 1 0 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2X 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 0 2X+1 1 2X+1 X 2 1 2 2X+1 1 0 1 1 2 0 1 2 1 2X 1 0 2X 2X+2 1 X+2 1 2X 1 2X+2 2 1 2X+1 X+2 X+2 2X+1 1 X X X+1 X 1 X+1 1 2X+1 X+1 1 1 2X+2 2X+2 2X+2 2X+1 0 X 2X+2 2 2X 2X+2 0 X+2 2X X+2 1 1 X+1 1 2X+2 2 1 2 X 1 1 X+2 X 2X+2 X+1 2X+2 2X+2 1 0 0 2X 0 0 0 0 0 0 0 2X X X X X 0 X X 2X X 2X X X 2X X X 0 2X X 0 X X 2X 2X X 0 0 2X X X 2X 2X 2X 0 0 X 0 0 X X 2X X X 0 2X X X 0 X 2X 0 2X 0 X 0 X 0 X X 2X X 0 0 2X 2X 0 0 X 2X 2X 2X X 2X 0 X 0 2X 2X 2X 2X X 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X X X 2X X 0 0 X X 0 X 2X 2X 2X 2X 0 X X 2X 2X 0 X X 2X 0 0 2X X 2X X 2X X X 0 2X X 2X 0 0 0 0 0 0 2X X 2X 0 2X 2X 0 2X 0 X 2X 0 2X 2X 0 0 X X 2X 2X 0 X 0 2X 0 0 2X 0 2X X 2X X 2X 0 0 0 0 0 0 0 X 0 X X X X X 2X 0 0 2X 0 X 2X 2X 0 2X 0 0 X 0 0 X X X 0 0 2X 0 2X X 2X 2X X 2X 2X 2X X X 2X 0 2X X 2X 0 X X 0 X X 2X X X X 2X 0 0 0 0 0 0 2X 0 2X X 2X 0 X 2X 0 X X 0 X X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X 2X 2X 2X 0 X X 2X 2X 2X X 0 X 0 0 2X X 2X 0 0 X 2X 2X 2X 2X 0 X X 2X 0 2X 2X X 0 0 0 X 2X 2X 0 0 2X 0 2X 2X 2X 0 X 2X 2X 2X X X 2X 0 2X 0 2X 0 X 0 0 2X X 0 2X X X 2X 2X X 2X 2X 0 0 2X 0 0 0 X 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+126x^171+210x^172+256x^174+402x^175+322x^177+552x^178+282x^180+726x^181+214x^183+696x^184+312x^186+594x^187+198x^189+588x^190+184x^192+360x^193+120x^195+204x^196+50x^198+42x^199+38x^201+38x^204+10x^207+2x^210+12x^213+2x^216+8x^219+6x^222+4x^225+2x^234 The gray image is a linear code over GF(3) with n=276, k=8 and d=171. This code was found by Heurico 1.16 in 1.23 seconds.