The generator matrix 1 0 1 1 1 1 1 0 1 1 1 3 1 1 1 3 1 1 1 1 1 1 0 3 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 0 1 1 8 7 0 8 1 3 7 2 1 3 4 2 1 4 0 3 1 8 2 1 1 6 6 6 7 4 1 5 5 5 1 1 1 0 0 3 3 0 3 0 0 6 0 3 3 6 6 6 0 3 3 3 6 6 6 3 6 0 0 3 0 3 0 0 3 6 6 0 3 0 3 6 0 3 6 0 3 6 3 6 6 generates a code of length 42 over Z9 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+32x^81+180x^84+18x^87+6x^90+6x^99 The gray image is a code over GF(3) with n=126, k=5 and d=81. This code was found by Heurico 1.16 in 0.00672 seconds.