The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 3 3 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 3 6 3 3 6 3 3 0 0 3 3 6 6 0 0 0 0 0 3 0 0 0 0 0 0 0 3 3 0 0 6 6 0 6 3 0 6 3 6 0 6 3 3 3 0 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 6 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0 0 3 0 3 6 0 0 0 0 0 0 0 3 0 0 0 0 3 6 0 6 6 6 6 3 0 3 6 3 3 0 0 6 6 3 3 3 0 3 0 0 0 0 0 0 0 0 3 0 0 0 6 6 0 6 3 6 3 0 6 6 6 0 0 0 3 6 0 3 6 0 0 6 0 3 0 0 0 0 0 0 0 3 0 0 6 6 3 6 0 0 6 6 3 6 6 6 6 6 0 3 3 0 6 0 3 0 6 6 0 0 0 0 0 0 0 0 3 0 6 0 6 0 6 0 3 0 6 3 6 6 0 3 0 6 0 6 0 3 0 3 6 6 0 0 0 0 0 0 0 0 0 3 6 0 3 3 6 6 0 3 3 6 3 6 0 6 6 6 6 0 3 3 0 6 3 3 0 generates a code of length 34 over Z9 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+66x^45+254x^48+506x^51+710x^54+1176x^57+2112x^60+6032x^63+14308x^66+18308x^69+10354x^72+2128x^75+1522x^78+840x^81+414x^84+228x^87+58x^90+26x^93+4x^96+2x^99 The gray image is a code over GF(3) with n=102, k=10 and d=45. This code was found by Heurico 1.16 in 31.8 seconds.