The generator matrix 1 0 1 1 1 1 1 21 1 1 1 18 1 1 1 3 0 1 1 1 1 1 1 1 0 1 1 18 1 21 3 3 3 1 3 1 0 1 1 26 7 18 17 1 25 21 20 1 20 19 21 1 1 16 14 15 0 21 22 23 1 23 26 1 26 1 21 1 24 12 9 4 0 0 24 0 0 21 21 18 3 6 15 21 18 0 9 12 24 6 3 21 24 24 21 18 6 15 6 21 24 24 15 21 24 6 15 18 0 0 0 9 0 18 0 9 18 0 9 0 18 18 9 18 18 0 9 9 9 9 18 9 9 0 18 0 9 9 0 18 18 9 18 18 0 0 0 0 9 0 0 0 0 0 0 9 18 9 18 9 9 18 9 18 9 18 18 18 0 9 18 0 9 9 18 18 9 0 18 0 generates a code of length 36 over Z27 who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+234x^63+378x^64+678x^65+1352x^66+2256x^67+2208x^68+4666x^69+5832x^70+5886x^71+9552x^72+7578x^73+5724x^74+5796x^75+4110x^76+1446x^77+778x^78+216x^79+90x^80+156x^81+36x^82+6x^83+52x^84+6x^85+8x^87+2x^90+2x^96 The gray image is a code over GF(3) with n=324, k=10 and d=189. This code was found by Heurico 1.16 in 4.71 seconds.