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 3 1 1 1 1 1 3 1 3 1 1 1 3 1 1 3 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 6 3 6 3 6 3 6 3 6 0 3 0 0 6 3 3 3 0 6 3 3 6 3 6 0 3 3 3 6 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 3 3 6 6 0 3 0 6 3 0 0 3 6 0 3 6 3 6 3 3 0 3 3 6 3 0 6 0 0 3 0 6 3 0 0 0 0 3 0 0 0 0 0 3 3 6 6 6 0 6 0 3 3 3 3 6 6 0 0 0 0 6 6 3 3 3 3 6 0 0 0 3 0 0 3 3 3 3 0 0 0 0 0 0 3 0 0 0 3 6 6 6 3 3 6 6 3 6 0 6 0 6 3 6 3 3 0 3 0 0 3 0 3 3 6 3 0 3 6 3 0 6 0 6 3 0 0 0 0 0 0 3 0 0 6 6 3 3 0 6 0 3 3 0 3 0 0 6 6 0 3 3 0 6 3 6 3 6 3 6 3 0 6 6 6 3 3 0 6 6 3 0 0 0 0 0 0 0 3 0 6 3 6 3 6 0 0 0 0 3 6 6 0 0 6 3 3 3 6 3 3 3 3 3 6 3 6 6 0 3 0 3 6 6 6 0 6 0 0 0 0 0 0 0 0 3 3 0 3 0 3 0 6 6 6 6 6 0 3 0 0 6 6 3 6 0 6 6 0 0 3 0 0 6 3 3 3 0 3 3 0 3 3 6 generates a code of length 46 over Z9 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+100x^72+262x^75+370x^78+446x^81+54x^82+574x^84+540x^85+680x^87+2160x^88+652x^90+4320x^91+762x^93+4320x^94+714x^96+1728x^97+686x^99+514x^102+400x^105+236x^108+100x^111+48x^114+10x^117+2x^120+2x^123+2x^126 The gray image is a code over GF(3) with n=138, k=9 and d=72. This code was found by Heurico 1.16 in 7.14 seconds.