The generator matrix 1 0 0 1 1 15 1 1 1 1 1 1 0 1 15 1 1 1 1 3 1 1 1 1 12 1 1 1 18 3 1 1 1 0 1 24 9 0 1 0 15 0 1 16 1 17 20 16 14 1 20 21 9 4 15 17 1 5 13 25 4 1 6 21 6 1 1 20 24 7 24 2 1 1 0 0 1 25 26 16 14 1 21 17 15 16 26 14 1 2 23 21 22 11 24 22 12 12 16 16 26 6 23 18 25 15 19 1 2 4 21 0 0 0 18 9 0 18 18 0 0 9 9 9 9 9 18 0 9 18 0 18 0 0 18 18 0 18 18 18 18 0 9 0 9 0 9 9 generates a code of length 37 over Z27 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+618x^67+1290x^68+1632x^69+4068x^70+4614x^71+4592x^72+8436x^73+6480x^74+7662x^75+9072x^76+5070x^77+2346x^78+2016x^79+930x^80+40x^81+60x^82+72x^83+6x^84+30x^85+12x^86+2x^90 The gray image is a code over GF(3) with n=333, k=10 and d=201. This code was found by Heurico 1.16 in 6.19 seconds.