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

generates a code of length 51 over GR(81,9) who´s minimum homogenous weight is 378.

Homogenous weight enumerator: w(x)=1x^0+512x^378+288x^385+4968x^386+3680x^387+3024x^394+30456x^395+12592x^396+16416x^403+128304x^404+40224x^405+32760x^412+203688x^413+52480x^414+800x^423+616x^432+408x^441+192x^450+32x^459

The gray image is a code over GF(9) with n=459, k=6 and d=378.
This code was found by Heurico 1.16 in 28.6 seconds.