The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 0 1 1 21 1 1 1 1 24 1 1 1 9 1 1 1 1 1 21 1 1 12 1 6 1 1 1 1 1 1 1 0 12 1 1 1 1 1 3 3 21 1 0 1 7 26 21 4 20 1 24 19 23 1 20 0 16 1 4 19 1 21 26 24 23 1 9 16 11 1 19 24 13 10 23 1 5 0 1 8 1 6 5 20 19 4 0 24 1 1 4 16 25 13 10 15 9 1 26 0 0 9 0 18 9 18 0 9 18 0 9 9 18 0 9 0 18 18 9 18 0 9 18 9 18 0 18 9 0 18 0 18 0 0 0 9 9 0 18 9 18 9 0 9 18 18 9 9 18 18 9 0 0 0 18 18 0 0 0 9 9 18 18 9 9 0 0 18 9 18 18 9 9 9 18 0 0 18 18 0 9 9 0 18 0 0 0 9 18 0 9 18 18 18 9 18 9 0 18 18 0 9 0 9 0 18 0 9 18 9 18 0 9 generates a code of length 57 over Z27 who´s minimum homogenous weight is 108. Homogenous weight enumerator: w(x)=1x^0+360x^108+96x^109+480x^110+1136x^111+204x^112+384x^113+1312x^114+192x^115+504x^116+1136x^117+138x^118+240x^119+326x^120+12x^121+12x^122+8x^123+6x^124+10x^126+2x^129+2x^162 The gray image is a code over GF(3) with n=513, k=8 and d=324. This code was found by Heurico 1.16 in 0.407 seconds.