The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 3 1 1 3 1 1 3 9 9 0 1 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 18 0 9 18 9 18 0 9 0 18 0 9 9 18 9 0 generates a code of length 38 over Z27 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+66x^76+2x^78+6x^79+4x^84+2x^87 The gray image is a code over GF(3) with n=342, k=4 and d=228. This code was found by Heurico 1.16 in 0.0116 seconds.