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

generates a code of length 52 over GR(81,9) who´s minimum homogenous weight is 387.

Homogenous weight enumerator: w(x)=1x^0+1024x^387+432x^389+576x^393+720x^394+4248x^395+7104x^396+3816x^398+6048x^402+4320x^403+16416x^404+21424x^405+9288x^407+32832x^411+18360x^412+59400x^413+63296x^414+20736x^416+65520x^420+29088x^421+77400x^422+69224x^423+18216x^425+688x^432+664x^441+424x^450+144x^459+32x^468

The gray image is a code over GF(9) with n=468, k=6 and d=387.
This code was found by Heurico 1.16 in 29.2 seconds.