The generator matrix 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 9 0 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 9 9 0 9 18 18 0 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 0 9 18 9 18 9 18 0 0 9 0 generates a code of length 26 over Z27 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+48x^51+162x^52+26x^54+6x^60 The gray image is a code over GF(3) with n=234, k=5 and d=153. This code was found by Heurico 1.16 in 0.00316 seconds.