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

generates a code of length 75 over GR(81,9) who´s minimum homogenous weight is 567.

Homogenous weight enumerator: w(x)=1x^0+416x^567+432x^572+360x^573+2736x^575+1152x^576+288x^577+576x^578+2736x^579+2520x^580+5904x^581+4176x^582+11376x^584+1088x^585+3024x^586+4752x^587+11232x^588+6048x^589+15984x^590+8640x^591+20736x^593+984x^594+16416x^595+17928x^596+39312x^597+21168x^598+41904x^599+21240x^600+41760x^602+640x^603+32760x^604+29232x^605+51696x^606+22752x^607+40752x^608+18072x^609+28368x^611+696x^612+496x^621+416x^630+320x^639+208x^648+120x^657+8x^666+16x^675

The gray image is a code over GF(9) with n=675, k=6 and d=567.
This code was found by Heurico 1.16 in 43.9 seconds.