The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 0 1 0 1 1 0 1 1 1 1 0 3 0 0 24 21 3 15 24 0 18 9 21 15 15 6 12 3 18 21 3 6 3 12 21 3 18 21 21 9 0 0 3 24 0 15 3 21 24 9 21 15 15 3 15 9 3 0 24 21 9 24 6 0 0 24 9 6 18 24 0 0 0 9 0 18 18 9 0 0 0 9 9 0 18 18 0 18 18 18 9 18 0 18 0 0 0 18 9 18 0 0 0 0 9 18 9 0 18 18 18 18 18 18 9 0 0 0 0 18 18 0 0 9 9 18 9 0 18 0 generates a code of length 30 over Z27 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+104x^51+162x^52+162x^53+450x^54+474x^55+618x^56+1046x^57+1656x^58+1620x^59+6172x^60+2676x^61+1632x^62+1302x^63+624x^64+264x^65+280x^66+198x^67+72x^68+90x^69+42x^70+6x^71+20x^72+6x^75+6x^78 The gray image is a code over GF(3) with n=270, k=9 and d=153. This code was found by Heurico 1.16 in 0.812 seconds.