The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 0 1 24 1 1 21 1 1 1 1 1 24 21 1 1 0 1 1 1 21 1 1 24 1 0 9 6 1 0 1 1 1 15 18 1 1 24 1 1 1 1 1 1 18 0 1 7 26 21 4 20 1 19 24 1 23 26 0 1 16 1 24 23 1 19 20 4 21 20 1 1 26 16 1 4 0 19 1 16 23 1 20 1 1 1 8 1 11 11 26 1 1 17 19 1 26 21 0 16 4 24 1 0 0 9 0 0 0 18 9 18 9 9 9 9 9 18 0 18 0 0 9 0 9 18 9 9 0 9 18 9 0 0 18 9 18 9 0 9 0 18 18 18 0 0 9 18 9 9 18 0 0 9 0 18 9 0 9 9 0 0 0 0 9 0 9 9 9 18 18 0 18 9 0 9 18 0 9 0 9 9 0 18 18 9 18 18 0 9 9 18 18 18 9 9 0 0 9 18 0 0 0 0 18 0 9 18 9 0 9 9 9 0 0 0 9 18 9 0 0 0 0 18 18 0 18 18 9 18 18 0 18 18 18 18 9 9 9 0 18 9 0 9 0 9 18 18 18 9 9 18 0 0 0 0 9 0 0 9 18 18 0 0 9 18 9 0 9 0 18 9 0 18 0 18 18 generates a code of length 58 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+414x^108+198x^109+360x^110+1620x^111+522x^112+1206x^113+2628x^114+792x^115+2484x^116+3578x^117+936x^118+1638x^119+2190x^120+450x^121+144x^122+342x^123+18x^124+76x^126+68x^129+6x^135+8x^138+2x^144+2x^147 The gray image is a code over GF(3) with n=522, k=9 and d=324. This code was found by Heurico 1.16 in 1.05 seconds.