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 1 1 1 1 1 1 1 1 1 1 3 1 3 0 3 0 0 24 21 15 3 24 9 3 18 24 21 21 15 24 21 18 15 24 15 3 3 9 0 0 21 15 24 6 12 3 3 3 0 0 3 24 9 6 21 3 6 18 3 21 0 15 18 3 6 6 18 24 0 21 18 12 21 24 6 0 6 24 21 24 21 24 12 0 0 0 9 0 0 18 9 18 18 18 18 9 18 18 0 9 9 9 0 18 9 9 0 9 18 0 0 9 18 18 9 0 0 9 generates a code of length 35 over Z27 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+180x^64+306x^65+200x^66+252x^67+270x^68+752x^69+3072x^70+102x^71+726x^72+210x^73+84x^74+16x^75+126x^76+162x^77+4x^78+42x^79+42x^80+6x^82+6x^83+2x^99 The gray image is a code over GF(3) with n=315, k=8 and d=192. This code was found by Heurico 1.16 in 43.4 seconds.