The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 24 1 1 1 1 1 1 1 1 24 0 1 24 0 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 1 23 21 20 16 0 24 26 4 1 1 16 1 1 20 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 0 0 18 0 9 0 0 0 9 18 9 9 9 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 18 18 9 0 9 18 0 0 0 0 18 18 9 9 0 0 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 9 9 9 0 9 18 0 18 18 9 18 9 18 18 18 18 18 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 9 18 18 18 0 0 0 18 9 9 9 9 0 9 9 0 0 generates a code of length 34 over Z27 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+96x^57+18x^58+72x^59+478x^60+126x^61+654x^62+2260x^63+2196x^64+3174x^65+7394x^66+8118x^67+6216x^68+10738x^69+8244x^70+4260x^71+4104x^72+180x^73+174x^74+314x^75+72x^76+30x^77+58x^78+32x^81+26x^84+12x^87+2x^90 The gray image is a code over GF(3) with n=306, k=10 and d=171. This code was found by Heurico 1.16 in 4.5 seconds.