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 X 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X X X X 2X X X 2X X X X 2X 2X X 0 X X X 0 2X 2X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X X 2X 0 0 X 2X 0 X 2X X 2X X 0 2X 2X 0 2X X 0 2X 2X 2X X 2X 0 0 X 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 2X 2X 2X 0 2X 2X 2X X 2X 0 2X X X X X X 2X 0 0 0 2X 2X 2X 0 X X 2X 2X 2X 0 2X 0 2X 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X 2X X X 2X X X 2X X 2X 2X 2X 0 0 X 0 0 2X 0 0 0 X 0 0 0 2X X 0 0 0 X 2X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 0 2X 2X 0 0 0 0 X 2X X 2X X 0 0 X 2X X 2X 2X 2X X X 0 0 0 X 0 0 X 2X 0 0 0 X 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 2X 2X 2X X 2X 0 X 0 X 2X 0 0 X 2X X 0 2X X 0 0 2X X 0 X 2X X 2X 2X X X 2X 2X X 2X 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 2X 0 2X 0 2X 2X X 0 0 X 0 2X 2X 0 0 X 0 2X X X X X 0 2X X X X 0 2X X 0 0 2X X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 0 X X X 2X X 2X X X X 2X 0 0 X X 0 0 2X 2X 0 X 2X X X 0 0 0 2X 2X 2X 2X X generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+188x^75+470x^78+706x^81+1000x^84+1168x^87+162x^88+1600x^90+1620x^91+1880x^93+6480x^94+2110x^96+12960x^97+2306x^99+12960x^100+2308x^102+5184x^103+2024x^105+1574x^108+1070x^111+644x^114+350x^117+184x^120+56x^123+22x^126+12x^129+8x^132+2x^135 The gray image is a linear code over GF(3) with n=147, k=10 and d=75. This code was found by Heurico 1.16 in 91 seconds.