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 3 3 3 3 3 3 3 3 1 1 1 1 1 1 0 3 0 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 3 3 0 3 6 6 6 0 0 3 3 0 3 0 0 3 6 6 3 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 3 6 0 0 3 6 3 6 3 6 0 0 3 6 0 3 6 3 6 6 generates a code of length 41 over Z9 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+58x^81+6x^84+6x^87+8x^90+2x^99 The gray image is a code over GF(3) with n=123, k=4 and d=81. This code was found by Heurico 1.16 in 0.00745 seconds.