The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 1 1 1 1 1 9 12 6 1 1 0 1 16 26 21 4 20 1 24 19 23 1 9 7 8 12 13 11 6 10 5 1 1 1 18 3 generates a code of length 26 over Z27 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+372x^51+162x^52+188x^54+6x^60 The gray image is a code over GF(3) with n=234, k=6 and d=153. This code was found by Heurico 1.16 in 0.00266 seconds.