The generator matrix 1 1 1 1 1 1 1 3 3 1 0 9 18 0 9 18 0 9 18 9 generates a code of length 10 over Z27 who´s minimum homogenous weight is 19. Homogenous weight enumerator: w(x)=1x^0+12x^19+54x^20+4x^21+6x^22+4x^24 The gray image is a code over GF(3) with n=90, k=4 and d=57. This code was found by Heurico 1.16 in 0.000186 seconds.