The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1 21  1  1  1  1  1  1  6 21  3  6  1  1  9 12 21
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21 23  6  1 10 16 24 10 21 25 14 26  1 11 20  3 15 20 24  1  1  1  1  8  5  1  1  1
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 18  0  3 24 12  9  0  9 15 21  3 24  9  6  9 24 21 12 18 21 12 15  0  3 18 21 24 18

generates a code of length 44 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+582x^84+1206x^85+630x^86+462x^87+1278x^88+252x^89+456x^90+1026x^91+252x^92+336x^93+18x^94+10x^96+18x^97+8x^99+6x^102+18x^103+2x^105

The gray image is a code over GF(3) with n=396, k=8 and d=252.
This code was found by Heurico 1.16 in 43.3 seconds.