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 X X 1 1 1 1 1 1 X X X 1 1 1 1 1 1 X X 1 1 1 1 1 X 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 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 2X 2X X 0 X X 0 2X 0 2X X 0 0 2X 0 X X 2X X X X X 2X 0 0 0 0 0 X 2X 0 X X X 0 0 0 X 2X X 0 0 X 0 0 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 2X 0 X 2X X X 2X 2X 0 X X 0 0 2X 0 2X 2X X X X 0 0 0 X 0 0 2X X 2X 0 X X 0 0 X 0 X X 0 2X 0 2X 0 X X 0 2X X 0 2X 0 X 0 2X 0 2X 0 0 0 2X 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 2X 0 2X 0 X 2X 2X 0 X 2X X 2X 0 2X X X X 0 X 2X X 2X X X 0 0 2X 0 X 0 X X X 2X 2X X 0 X 0 X 2X 0 X 2X X 0 0 0 2X 2X 0 2X X 2X 0 2X 0 0 0 2X X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 2X X 2X 2X X 2X X 2X 2X 0 0 0 0 X 2X 0 X 0 X 0 0 X 2X 2X 2X 0 0 2X 2X 2X X X 2X 2X 2X X 0 0 X 2X 2X X 0 X 0 X X 0 0 2X X 2X 2X 2X X 2X 0 0 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X 2X X 0 0 2X 2X 2X X X X X 0 X X X 2X 2X X 0 0 X X 0 X 2X 2X 0 2X 2X 0 X X X 2X X 2X X X 2X X 0 X 2X 0 X 2X 2X X 0 X X 2X 2X X 0 0 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 0 2X X 0 2X 0 2X X 0 X 2X X 2X 0 X 2X X 0 2X X 0 2X 0 X 0 0 X 0 0 X 0 0 X X 2X X 2X 0 2X 2X 2X 0 X 2X 2X 2X 0 X X 2X X X 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 2X 2X 0 X 2X 0 X X 0 X 0 0 X 2X 0 2X 0 2X 2X 0 X 0 X X 0 2X X 0 0 2X 0 X 0 X X X 2X X 2X 0 0 X 0 0 0 2X 2X 0 2X 2X 2X 0 X X X X 2X X 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X 0 X 0 X X 0 2X X 2X 2X 0 2X 0 0 X X 2X X 0 0 2X X X 0 0 0 X X X 2X X 0 X X 2X 2X X X X 0 2X 0 2X 2X X 2X X X 2X X 0 2X 0 X 2X 0 0 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+10x^105+32x^108+52x^111+96x^114+184x^117+236x^120+322x^123+410x^126+466x^129+502x^132+640x^135+604x^138+620x^141+608x^144+470x^147+368x^150+370x^153+212x^156+160x^159+92x^162+64x^165+28x^168+12x^171+6x^172+2x^174+96x^175+12x^177+672x^178+16x^180+2688x^181+50x^183+6720x^184+180x^186+10752x^187+204x^189+10752x^190+314x^192+6144x^193+504x^195+1536x^196+588x^198+786x^201+946x^204+1078x^207+1192x^210+1216x^213+1244x^216+1120x^219+982x^222+866x^225+696x^228+432x^231+316x^234+192x^237+92x^240+58x^243+24x^246+8x^249+4x^252+2x^258 The gray image is a linear code over GF(3) with n=282, k=10 and d=105. This code was found by Heurico 1.16 in 99.9 seconds.