The generator matrix

 1  0  0  1  1 15  1  1  1  1  1  1  0  1  1 21  1  1  1  1  6  3  1  1  1  1 21  1  1  1 18  9  1  1  6  1 12  1 12  0  1  3  1  1  1  1  1
 0  1  0 15  0  1 16 26  1 20 16 14  1 17 24  1 25 15 22  5  3  1 20  6  4 19  1 26  8  3  1  3  5  1  1  7  1 14  1  1  9 12  4 26 16 17 15
 0  0  1 25 26 16 14 26  1 15 15 16 26 21  4 22 17 20 19 10  1 26 14 12 12 24 18  0 11 11 18  1  0 22  8 13 14  8 10 10 16  1  7 13  0  5 16
 0  0  0 18  9  0 18  0 18  0  9  9  9  9  9 18  0  0  0 18  9  0  9  9 18  0  9 18 18  0 18 18  9  9  9  0 18  9  9  0  9  9 18  9  0 18  9

generates a code of length 47 over Z27 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+378x^86+600x^87+1872x^88+2478x^89+3562x^90+5370x^91+4332x^92+6374x^93+7494x^94+5874x^95+7160x^96+6180x^97+3222x^98+1808x^99+1410x^100+672x^101+148x^102+12x^103+30x^104+20x^105+12x^106+24x^107+8x^108+6x^109+2x^114

The gray image is a code over GF(3) with n=423, k=10 and d=258.
This code was found by Heurico 1.16 in 5.25 seconds.