The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 0 1 1 1 1 1 1 1 3 3 1 3 1 0 3 24 0 21 24 0 21 24 9 21 24 21 6 0 21 12 24 3 18 21 0 3 21 9 9 21 24 24 24 0 0 0 9 0 0 0 0 18 9 0 9 18 9 9 0 9 0 18 0 0 18 18 9 0 18 18 18 0 9 0 9 0 0 0 9 0 0 0 0 0 9 9 18 9 18 9 9 9 9 9 9 9 0 18 9 9 9 0 18 18 0 18 0 0 0 0 18 0 9 18 9 9 0 9 0 18 9 9 0 9 0 18 18 9 9 18 0 0 18 18 18 9 9 0 0 0 0 0 9 9 0 18 9 18 9 9 9 0 9 9 0 0 9 18 18 0 9 9 18 9 9 18 9 18 generates a code of length 31 over Z27 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+76x^51+138x^53+224x^54+552x^56+330x^57+486x^58+1848x^59+1818x^60+1944x^61+3336x^62+3390x^63+1944x^64+2418x^65+390x^66+420x^68+192x^69+36x^71+78x^72+36x^75+20x^78+6x^81 The gray image is a code over GF(3) with n=279, k=9 and d=153. This code was found by Heurico 1.16 in 0.901 seconds.