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 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 0 0 0 0 1 1 1 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 0 3 3 0 3 6 6 6 0 3 3 3 0 6 6 6 3 3 3 0 0 0 3 3 0 3 6 6 0 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 0 3 6 3 6 0 0 3 6 3 6 3 0 6 0 3 6 0 3 6 3 0 3 6 3 6 0 0 3 0 generates a code of length 57 over Z9 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+60x^114+12x^117+6x^120+2x^135 The gray image is a code over GF(3) with n=171, k=4 and d=114. This code was found by Heurico 1.16 in 0.0236 seconds.