The generator matrix

 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  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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3 24  0 21 24  9  6 21 21 24  0  9 21 24  6  0 21  9 12 24  6 15 12  6 21  9 12 18 12 12 21 12 21 12 12  3 24 24  6 24  6  6 15 21  0  0  0  9  9 18 18  0  0 18 15 24  6 24  9  0  0  9 24 15 18  6 15  6  6  9  9  9 21  3 12 21 12  3 12 12 21 21  3 21  0
 0  0  9  0  0  0  0 18 18  9  9  9 18  9  0  9  9 18 18 18 18 18  0  0  9  9  9  0 18  9 18 18 18  9  0  0  9  0  0  9  9  9  0  0 18  0 18  9 18 18 18 18  9  0  9 18 18  0  9  0  9  0 18  9 18  0  0 18 18 18  9  9  0 18 18  9  0  9 18  0  9 18  0 18 18  9
 0  0  0  9  0  0 18  0  0  0  0  0  9 18 18  9 18  9 18 18 18  9  9 18 18 18  9  9  0  9  9 18  0  0  9 18  9  0 18 18 18  0 18  0 18  0 18  0 18  0  9  0 18  0  0  0  9  9  9  9  9  9  9  9  9 18  9  0 18 18 18  9 18  9  0 18  0 18  0 18  9  0 18 18 18 18
 0  0  0  0 18 18  0  9 18  9 18  9 18  0 18  0  9 18 18 18  9  9 18  0  0  9  9  0 18  9  9  9  9  0 18 18  0  0  9  9 18  9  0  9  0  9  9  0  0  0  9  9 18 18 18  0  0  0  9  9  0 18  0 18 18  9  9 18  0 18  0 18 18  0  0  9  9 18  9  9  0  0  9 18 18 18

generates a code of length 86 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+42x^163+114x^164+26x^165+408x^166+156x^167+60x^168+66x^169+648x^170+46x^171+2976x^172+1320x^173+54x^174+168x^175+84x^176+30x^177+24x^178+16x^180+54x^181+24x^182+8x^183+126x^184+84x^185+18x^187+6x^190+2x^255

The gray image is a code over GF(3) with n=774, k=8 and d=489.
This code was found by Heurico 1.16 in 0.941 seconds.