The generator matrix

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

generates a code of length 67 over GR(81,9) who´s minimum homogenous weight is 504.

Homogenous weight enumerator: w(x)=1x^0+488x^504+216x^507+144x^508+792x^510+1648x^513+1368x^515+11304x^516+3240x^517+4896x^519+7168x^522+5616x^524+32832x^525+7560x^526+9720x^528+33672x^531+19656x^533+103680x^534+21240x^535+21024x^537+66408x^540+25848x^542+114408x^543+20304x^544+16056x^546+752x^549+480x^558+384x^567+232x^576+232x^585+64x^594+8x^603

The gray image is a code over GF(9) with n=603, k=6 and d=504.
This code was found by Heurico 1.16 in 38.4 seconds.