The generator matrix

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

generates a code of length 44 over Z27 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+186x^83+432x^84+936x^85+828x^86+664x^87+918x^88+462x^89+490x^90+882x^91+426x^92+256x^93+12x^94+18x^95+8x^96+6x^98+4x^99+18x^101+8x^102+6x^103

The gray image is a code over GF(3) with n=396, k=8 and d=249.
This code was found by Heurico 1.16 in 0.0981 seconds.