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 X X 1 1 X 1 X 1 1 1 1 X 1 1 1 X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X X 2X 0 X 0 2X 0 2X 2X X X 2X X X 0 2X X 0 X 2X X 2X 2X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 0 2X X 0 2X 0 2X X 0 X 2X X 2X X 0 0 2X X 2X 2X X 2X 0 0 0 0 2X X 2X 2X 2X 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 0 0 X 2X 2X 2X X 2X X 0 0 X X X X X X 2X 0 2X 2X X X 0 0 0 2X 0 0 2X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X X 0 X X 2X 2X X 2X 2X 2X X 2X 2X 0 2X 0 2X 0 0 0 0 X 2X 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X X 2X X 0 0 2X X 2X 2X X 0 2X 2X X X 2X 2X 2X X 0 2X 0 X 2X X 0 X X X 0 X 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 0 0 X 2X 2X 0 0 2X 2X 0 2X 2X X 2X X 0 X 2X X X X 0 X 2X 2X 2X 2X X X X X X 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 2X 2X 0 2X 0 0 2X X 2X 0 0 X 2X 0 2X X 2X 2X 0 0 X X X X 2X X 0 2X 0 2X X generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+166x^75+276x^78+470x^81+18x^82+552x^84+216x^85+568x^87+1080x^88+600x^90+2880x^91+702x^93+4320x^94+716x^96+3456x^97+714x^99+1152x^100+656x^102+462x^105+360x^108+186x^111+80x^114+42x^117+6x^120+4x^123 The gray image is a linear code over GF(3) with n=141, k=9 and d=75. This code was found by Heurico 1.16 in 24.9 seconds.