The generator matrix 1 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 1 1 1 0 3 0 0 18 0 9 21 3 24 6 24 24 24 15 3 15 12 6 9 24 21 21 3 0 3 0 9 12 24 0 0 3 0 21 9 21 15 12 12 15 3 15 18 24 15 0 24 18 6 3 18 24 18 24 0 0 3 12 15 0 0 0 3 15 15 21 6 18 9 15 12 12 0 18 3 3 9 15 0 24 15 6 21 3 12 18 12 12 3 generates a code of length 30 over Z27 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+246x^52+276x^53+136x^54+444x^55+876x^56+168x^57+2586x^58+1242x^59+5996x^60+4524x^61+1308x^62+124x^63+636x^64+456x^65+82x^66+276x^67+198x^68+52x^69+36x^70+18x^71+2x^84 The gray image is a code over GF(3) with n=270, k=9 and d=156. This code was found by Heurico 1.16 in 6.03 seconds.