The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 0 1 1 1 1 24 1 1 1 1 21 24 1 1 1 1 1 1 1 24 1 1 1 1 6 1 0 1 1 1 6 21 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 19 24 1 16 19 23 24 1 16 20 4 24 1 1 0 26 0 4 20 21 23 1 13 16 0 23 1 9 1 7 16 6 1 1 0 0 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 9 0 0 18 18 9 9 18 0 0 0 0 0 18 0 18 9 9 9 0 18 18 9 0 18 0 18 18 0 0 9 18 9 9 0 0 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 18 0 9 0 18 0 18 18 9 9 0 0 18 9 18 18 18 9 18 18 18 9 9 18 9 9 9 9 18 9 0 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 9 18 18 0 18 0 18 0 18 9 0 18 0 9 18 18 9 9 0 9 0 0 0 0 9 18 9 18 0 9 18 9 18 9 0 0 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 0 9 0 9 18 9 9 9 9 18 18 0 9 18 0 18 9 18 0 18 9 9 0 9 18 9 18 0 18 9 9 0 generates a code of length 58 over Z27 who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+40x^102+18x^103+54x^104+188x^105+126x^106+378x^107+898x^108+1170x^109+996x^110+2540x^111+2538x^112+3660x^113+6416x^114+5454x^115+6720x^116+8410x^117+5472x^118+4728x^119+4574x^120+2466x^121+660x^122+726x^123+252x^124+246x^125+130x^126+54x^128+52x^129+36x^132+14x^135+8x^138+12x^141+6x^144+2x^147+2x^150+2x^156 The gray image is a code over GF(3) with n=522, k=10 and d=306. This code was found by Heurico 1.16 in 8.81 seconds.