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 X 1 X 1 X 1 1 1 1 1 1 1 1 X 1 X 1 X 1 X 1 X X 1 1 1 1 1 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X 2X 2X 2X X 2X 2X 2X 2X 0 X X 2X X X X 0 0 X 0 X X X 0 X 0 X X 2X X 2X 0 2X 2X 2X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 2X 0 2X 2X X X 2X 2X 0 X X 0 2X 2X X 0 2X 2X 0 0 2X 2X 2X X 0 0 2X 2X 2X 0 X X 0 2X X 2X 2X X X 2X 2X X 0 X 0 2X 0 X 2X 2X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 2X X 2X 0 X 2X X 2X X 2X X X X X X 0 0 2X 0 X X 2X 2X 0 X 2X 0 0 0 2X 0 2X 0 0 X 0 X 2X 0 X X X 2X 0 X 2X 0 2X 2X 0 2X 0 2X X X 2X 0 0 0 0 0 0 0 X 0 0 0 0 X 2X 2X 0 X 2X 0 2X 0 X 0 2X 0 2X 2X X 2X X X 2X 2X 2X X 2X 2X 0 0 2X 0 X X 2X 0 X X 2X 2X X X 2X 2X X 2X 2X X 0 2X 2X X 2X X 0 X X 2X X 2X 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X 2X X X 2X X X 2X 0 2X 0 2X 0 2X X 0 0 X X 0 2X 0 2X X 0 X 0 X X 0 2X X X X 2X 2X 2X 2X 0 0 2X X 2X 0 2X 2X 0 0 2X X 2X 2X X X 2X 2X 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X 2X 0 0 0 2X 2X 0 2X X 0 X 0 X X 2X 0 0 0 2X 2X 0 2X 2X X X X X 2X 2X 2X 2X X 2X X X X 0 0 2X X 0 0 2X 0 0 2X 2X 2X X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 2X 0 2X X 2X X 0 2X X 2X 2X X X 0 2X 2X 2X X 2X 0 0 X 2X 0 0 0 2X 2X 0 0 2X 0 0 X 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 X 0 X X 0 0 X 0 2X 2X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 2X 0 X X X 0 X 2X 0 X X X X 2X 2X X X X X X 0 0 X X X 0 X 2X 2X X 0 X 0 0 X X 2X 0 2X X 2X 2X 2X 0 0 0 0 X 2X 2X X 0 2X X 0 0 X 0 0 0 generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+56x^105+136x^108+246x^111+362x^114+540x^117+814x^120+912x^123+162x^124+1136x^126+648x^127+1392x^129+2106x^130+1484x^132+5508x^133+1640x^135+8910x^136+1758x^138+10368x^139+1790x^141+7452x^142+1734x^144+3564x^145+1512x^147+648x^148+1256x^150+1018x^153+744x^156+506x^159+314x^162+162x^165+104x^168+42x^171+14x^174+10x^177 The gray image is a linear code over GF(3) with n=207, k=10 and d=105. This code was found by Heurico 1.16 in 99.3 seconds.