The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1  1 24  1  1  1  1  1  1  0  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21 23 19  1  4 24 16 26  4  0 20 23 24  1 26 21  4 19 20 16  1 24 21 20 23  0  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  0 18  0 18 18 18 18 18  0  9  0  0 18  0  0 18 18  9 18  0 18  9  0  0  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18 18 18 18  0  9 18 18 18  9  0  0 18 18 18 18  0  9  0 18  9 18  9  9 18  9  0 18  0  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  9  9  9  0 18 18 18 18  0  9  0  0 18 18 18  9 18 18  0  0  0 18 18  0 18 18  0  0  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  9 18 18 18  0  0  9  0 18 18  0 18 18  9  9  9 18 18  9  0  0  9 18 18  0  9  9  0  0

generates a code of length 46 over Z27 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+88x^78+6x^80+180x^81+222x^82+126x^83+642x^84+1128x^85+636x^86+2648x^87+2820x^88+3150x^89+6992x^90+5508x^91+6186x^92+9300x^93+6540x^94+4212x^95+4982x^96+2688x^97+192x^98+386x^99+48x^100+60x^101+192x^102+12x^104+42x^105+22x^108+12x^111+14x^114+6x^117+6x^120+2x^123

The gray image is a code over GF(3) with n=414, k=10 and d=234.
This code was found by Heurico 1.16 in 6.32 seconds.