The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 0 3 1 0 1 1 1 1 3 1 0 3 24 0 21 24 0 21 24 9 21 24 12 6 0 12 0 24 21 9 6 18 18 21 21 6 24 3 21 24 3 12 9 0 9 9 12 0 0 9 0 0 0 0 18 9 0 9 18 9 0 0 9 18 9 9 18 0 18 9 9 18 9 18 18 9 9 9 18 9 9 9 0 0 0 0 0 9 0 0 0 0 0 18 9 18 18 18 9 18 9 18 0 18 18 18 0 0 9 0 18 18 9 18 0 18 9 9 18 18 0 0 0 0 0 18 0 9 18 9 9 18 18 18 18 0 0 9 18 0 0 18 0 18 18 0 18 18 9 9 9 0 9 18 9 0 9 0 0 0 0 0 0 9 9 0 18 9 9 9 18 0 9 18 9 9 9 0 18 9 0 9 0 0 9 9 9 9 18 0 0 0 9 0 18 generates a code of length 37 over Z27 who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+172x^63+54x^64+24x^65+328x^66+144x^67+132x^68+492x^69+1206x^70+312x^71+2026x^72+4230x^73+462x^74+3822x^75+4212x^76+408x^77+692x^78+252x^79+120x^80+282x^81+90x^82+102x^84+18x^85+56x^87+30x^90+14x^93+2x^96 The gray image is a code over GF(3) with n=333, k=9 and d=189. This code was found by Heurico 1.16 in 1.79 seconds.