The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 0 1 1 1 1 1 1 3 3 1 1 3 1 1 1 0 3 24 0 21 24 0 21 24 9 21 24 21 6 0 21 12 9 21 24 3 0 21 0 3 12 18 21 24 12 24 21 6 0 0 0 0 9 0 0 0 0 18 9 0 9 18 9 9 0 9 0 0 18 18 0 18 9 18 0 9 18 18 9 9 9 0 9 18 0 0 0 0 9 0 0 0 0 0 9 9 18 9 18 9 9 9 9 9 9 9 9 9 18 9 18 9 18 0 18 9 9 18 0 0 0 0 0 0 18 0 9 18 9 9 0 9 0 18 9 9 0 0 9 18 18 0 9 9 0 0 18 9 9 18 9 9 18 0 0 0 0 0 0 0 9 9 0 18 9 18 9 9 9 0 9 9 18 9 0 9 0 0 9 0 0 9 18 18 0 0 9 0 9 0 generates a code of length 35 over Z27 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+46x^57+216x^60+36x^61+84x^62+372x^63+252x^64+138x^65+1100x^66+1332x^67+1902x^68+2572x^69+2394x^70+3318x^71+2728x^72+1692x^73+294x^74+538x^75+126x^76+96x^77+322x^78+54x^81+42x^84+22x^87+4x^90+2x^93 The gray image is a code over GF(3) with n=315, k=9 and d=171. This code was found by Heurico 1.16 in 1.03 seconds.