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 0 3 3 9 3 3 18 1 1 1 1 1 1 1 1 1 1 1 1 0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 3 15 0 21 24 9 12 6 18 3 15 21 24 3 12 6 3 3 15 3 0 9 18 21 12 3 24 6 15 0 9 18 generates a code of length 48 over Z27 who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+234x^96+2x^99+4x^108+2x^117 The gray image is a code over GF(3) with n=432, k=5 and d=288. This code was found by Heurico 1.16 in 0.0275 seconds.