The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1 21  1  1  1  1  9  1  1 15  1  1  1  1 18  1  1  1  1  0  1  1  0  1  1  1  1  1 24 18  1  1  1  3  1  1  1  1 18  1 24  1  1  1 24  1  1  1  1  1  1  1  1 24 21 15  1  6 21  1 18  1  3 18  1  9  3  1  3 18  1
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20  1  5  4  0  7  1 20 24  1 23 10  3  2  1 25 13 14  0  1 26  9  1 19 17 15  6 14  1  1 26 10 24  1  2 21  1  5  1  5  1  1 19  1  1 13 20 17  7 19 18 16 19  1  1  1  6  1  1  5  1  8  1  3 22  1 24 23  1  3  0
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 15 12 15 15 24 12 15 15 21  3 12  3  6 15  3  3 12 12 21 24 24  0 18 21  6  3  9  6 15 21 15 21  3 21  6 24  0 18 24 18 12  0 18 24 24  0 21  9 18 12 15 21  9  6 12 18  0 12 24 18 24 12 24  9  6  3  9  6  3  3
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  9 24 15 12 21  3  3 18  9 12 21  0 18 12  6 18  9  3  9  9 15  3 15  0 21 21 15  6 18 24 24  9 21 12  0  3 21  6 24  0 18  0 21 21  9 18 12 15  9 15  0 24 18 24  6 18 12 21 21 15 12 12 12 21  6 15  3 12 24  3

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

Homogenous weight enumerator: w(x)=1x^0+264x^161+418x^162+708x^163+1650x^164+1338x^165+2094x^166+3354x^167+2808x^168+4062x^169+5112x^170+3904x^171+6336x^172+6366x^173+3438x^174+4776x^175+4176x^176+2390x^177+1956x^178+1782x^179+636x^180+324x^181+378x^182+208x^183+90x^184+102x^185+106x^186+48x^187+108x^188+36x^189+12x^190+30x^191+18x^192+6x^193+6x^195+6x^197+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 13.1 seconds.