The generator matrix 1 0 0 0 1 1 1 1 1 1 2X 1 1 1 X 1 X 1 2X 1 1 1 1 X 1 2X X X 1 1 1 1 1 2X 1 1 1 1 1 2X 1 0 X 1 0 1 1 1 0 1 1 1 1 X 1 0 1 0 0 0 0 2X+1 1 2X+2 2X+1 1 1 X 2X 1 2X+1 1 1 1 X+2 0 2X 0 2X 2X+2 1 1 1 1 X X+2 2X+1 2X+2 1 X+1 X+2 X+1 2X+1 X+2 1 2X+1 1 1 X 1 1 2X+1 2X+2 0 2 X+2 X+1 1 X X+2 0 0 1 0 1 0 2X 2 2X+1 X+2 2X+2 1 2 X+2 2 2X 0 2X+1 2X+1 X+1 1 X 2X+1 1 X+2 1 X+2 2X 2 2 2 1 2X 1 X+2 1 X X+1 2 0 2X 0 2X+1 2X+1 X+2 X 0 0 1 2X+2 0 X+1 X 1 X+2 0 0 0 1 2 1 2X+2 2X+1 X 0 2X+1 X+2 2 X 2X+2 0 X+1 1 2X 2X+1 0 X+2 X+1 2X+1 X+2 2X+1 X 2X 2X+2 2X+1 X+1 2X 2X 2X+2 X 2 2X+1 X 2X+2 2X 2 2X+2 2 X+1 X+2 X+2 X+2 X+1 2 1 2X+1 2X X+2 2 0 0 0 0 0 2X 0 2X 0 X X 0 X X 0 2X 0 X 2X X 2X X 2X X X 0 0 0 X 0 0 X 0 2X X X X 2X X X 2X 0 2X 2X 0 0 2X X X 0 2X 2X 0 X 2X 2X 0 0 0 0 0 2X 0 2X X X 0 X X 2X X 2X 2X 0 X 2X 0 X 2X 0 0 X X 0 0 X 0 X 2X 0 0 0 2X 0 2X 2X X 0 2X 2X X 2X X 0 2X X 0 0 0 2X 2X generates a code of length 55 over Z3[X]/(X^2) who´s minimum homogenous weight is 95. Homogenous weight enumerator: w(x)=1x^0+360x^95+280x^96+1464x^98+936x^99+2976x^101+1756x^102+4536x^104+2574x^105+6216x^107+3452x^108+7176x^110+3692x^111+6990x^113+3446x^114+5448x^116+2208x^117+3060x^119+948x^120+912x^122+276x^123+210x^125+62x^126+18x^128+26x^129+10x^132+8x^135+4x^138+2x^141+2x^144 The gray image is a linear code over GF(3) with n=165, k=10 and d=95. This code was found by Heurico 1.16 in 40.5 seconds.