The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  3  1 3a  1  1  1 6a  1  1  1  3  1  1  1 3a+6  1  1  0  1
 0  1  1  a 7a+7 8a+4 3a+5 8a+5 8a a+5  0 a+5 8a 8a+5 8a+4  1  a 7a+7 3a+7 3a+5 a+5 8a+5 7a+7 8a+4  1  a 3a+7 2a+5 3a+7 8a+7 a+7 6a+1  0 a+3 4a+3  1 2a+5  1 3a+5  4 2a+4  1 a+1 4a+7 8a  1 6a+7 6a+5 a+8  1 6a+1 8a+3  1  0
 0  0 3a+6  0 3a+6  3 6a+6 6a+6  6 3a 3a+6 3a  3 3a  3  3 6a+6  6 3a+6 3a+3 6a+6  6  0 3a  6  6  3 3a 6a 6a+3 6a 3a+3 6a+3 3a+3 3a+6  6 3a+3 3a+3  6  3 3a  3 3a+6 6a+6  0 3a+6 6a+6  6 6a  0 6a+6  0 3a+3  0
 0  0  0  3 3a+6 3a+6  3 3a  3 3a+3 6a 6a+6 6a 6a+3  0 6a+6 3a+3 3a+6 3a 3a+3 6a 3a 6a+6  6  0 3a+3 3a  0 6a+6 3a+6  3  6 6a 6a+6 6a+6 6a 6a  0 6a+3  0 3a+3  3  3  6 3a 3a  6 3a+6  6 6a+6 3a  6 6a+3  0

generates a code of length 54 over GR(81,9) who´s minimum homogenous weight is 396.

Homogenous weight enumerator: w(x)=1x^0+136x^396+72x^400+216x^404+1264x^405+2016x^409+2160x^410+1368x^411+2880x^413+4872x^414+14256x^418+12960x^419+5616x^420+8208x^422+10280x^423+58464x^427+55080x^428+19656x^429+20736x^431+21728x^432+135144x^436+87264x^437+25848x^438+20448x^440+18952x^441+768x^450+480x^459+368x^468+192x^477+8x^486

The gray image is a code over GF(9) with n=486, k=6 and d=396.
This code was found by Heurico 1.16 in 31.3 seconds.