The generator matrix

 1  0  1  1  1  1  1  3  1  1 24  1  1  1  3  1  1  1  1 24 12  1  1  1  1 18  1  1 12  1  1  1  1  1  1  1  1  1  1 21  1  1  1  1  1
 0  1  1 26 18 25 26  1  4 26  1  0  4  0  1 23 25  2  3  1  1 25 13 11 15  1  4 12  1  1 24 24 20 17 24 13  6 21 26  1 12 18  3  7 25
 0  0 24  0 18  0  0  9 18 18  0 21  6  6  3 24 12 12 21  9 12 12 12 21  3 24 15  9 15 15 24  3 15 15 21  9 18  6 24 15  6 15  0  3  6
 0  0  0  3 21 12  9  3 24  6 15 21 15 18  6 24  3 12  6 18 18 24  0 24  0  3  0  6  6 21  6 15  9 15  6 18 18  9 12 18 12 15 12 24  3

generates a code of length 45 over Z27 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+490x^81+216x^82+450x^83+2010x^84+1620x^85+2808x^86+4734x^87+4374x^88+7830x^89+7914x^90+7074x^91+8136x^92+5526x^93+2592x^94+1188x^95+1236x^96+162x^97+510x^99+168x^102+6x^105+4x^108

The gray image is a code over GF(3) with n=405, k=10 and d=243.
This code was found by Heurico 1.16 in 6.58 seconds.