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 1 1 1 1 1 3 1 1 1 3 1 0 1 3 1 3 1 1 3 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 3 24 15 0 24 12 15 21 9 9 18 9 12 12 18 21 9 6 15 24 3 3 18 21 18 21 18 18 21 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 9 18 9 9 9 0 9 18 9 18 0 0 9 18 18 9 9 9 18 18 9 9 0 9 18 0 9 9 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 0 18 18 9 0 0 18 9 0 9 0 0 9 18 9 0 18 0 18 9 18 9 0 0 18 0 9 9 0 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 0 0 9 18 18 18 0 18 18 0 18 18 18 0 9 0 18 0 9 9 18 9 9 18 0 9 9 9 9 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 9 18 0 9 0 9 9 9 9 18 18 18 0 18 0 9 9 9 9 9 18 9 0 18 9 18 18 18 0 generates a code of length 51 over Z27 who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+134x^90+24x^91+78x^92+252x^93+330x^94+192x^95+422x^96+534x^97+216x^98+598x^99+4122x^100+276x^101+806x^102+8424x^103+264x^104+762x^105+924x^106+270x^107+340x^108+174x^109+132x^110+160x^111+48x^112+30x^113+100x^114+26x^117+22x^120+8x^123+6x^126+2x^129+4x^132+2x^135 The gray image is a code over GF(3) with n=459, k=9 and d=270. This code was found by Heurico 1.16 in 1.81 seconds.