The generator matrix

 1  0  1  1  1  1  1  1 21 24  1  1  1  1  0  1  1 24  1  1  1  1  1  1 21  1  0  1  1  1  6  1  1 21  1  1  1  1  3  1  1  1  1  1 24  1  9  1  1  1  1  1 12  1  0  1  1 12  1  1  1  1  1 21  1  1  1 24  3  1  9  1  1  1  1  1  1  1  1 21 12  1 12  1  1  3
 0  1  1 26 21 24 20 23  1  1 16  4 18 17  1  1  3  1 23 25 22 26 20 24  1  0  1 15 19 21  1 26 19  1 14 25 19 21  1  7 18 13 24 20  1 19  1 12  9 20 13 23  1  7  1 15  5  1  9 25 24 25  9  1  9 24 25  1  1 12  1 23 11 11 22 21  4 26  3  1  1  0  1  5 19  0
 0  0 24  0  0  9 18  0  9  9 15 24 21 12  6  3 21 24 15 21 21  6  6  6 15  6 15  3 24 15 18  9  9 18 12  3 18 18 21 24 12 15  0 24  6  3  3 12  9 18 12 18  3  0 18 12 24 18  6  9 15  9  3 12  9 21 21 12 18  9  3 21  9  3 15 18  3 15  3  9 24  0 24 24  3  6
 0  0  0  9  0  0  0 18  9 18 18  9 18  0  0  0  9  9  9 18  9 18  0  0  9  0 18  9 18 18  9  0  9 18  9 18 18  9  0  0  0  9 18  0  9  0 18 18  9  9 18  9  9  0  0  9  9 18 18  9  9  9  0  0 18 18  9  9  9  9 18 18  0  9  0  9  0  9  0 18  0  9 18 18 18  0
 0  0  0  0 18  9  9 18  9 18  0  0 18  0  9  0  9 18  0  9 18  9 18  9  0  0  9  0  9 18 18 18  9  9  0  0 18  9 18  9 18  9  9  0  9 18  0  0  0  9 18 18  9  9 18 18 18  0  0  0  0 18  9  9 18  9  0  0  0 18 18 18  0  0  0  0  9  9  0 18 18  9  0 18  0  9

generates a code of length 86 over Z27 who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+336x^161+438x^162+414x^163+1446x^164+2062x^165+1710x^166+3054x^167+3634x^168+3168x^169+4440x^170+5720x^171+4662x^172+5040x^173+6242x^174+4446x^175+3996x^176+3612x^177+1530x^178+1434x^179+628x^180+108x^181+342x^182+124x^183+162x^185+72x^186+108x^188+24x^189+30x^191+30x^192+24x^194+8x^195+2x^198+2x^201

The gray image is a code over GF(3) with n=774, k=10 and d=483.
This code was found by Heurico 1.16 in 14.2 seconds.