The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  0  1  1  1  1  1  1 24  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1 24  9  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1 26  1 16  0 24  4 19 23  1  0 16 26  1  4 13 24  9  6 16  8 23  5 13  5  1  1  4 17  7
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18  9  9 18 18  9  0  0 18 18  9 18  9  0  0 18  0 18  0  9 18  0 18  0  9  0  9  9  9 18
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18  9  9 18  0 18  9  0 18 18 18  0 18  0  0 18  0  9  9  9 18 18  9  9  9  0  9  0 18

generates a code of length 44 over Z27 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+96x^82+300x^83+634x^84+384x^85+438x^86+1212x^87+390x^88+672x^89+1474x^90+300x^91+312x^92+150x^93+102x^94+48x^95+4x^96+24x^97+12x^98+4x^99+2x^102+2x^105

The gray image is a code over GF(3) with n=396, k=8 and d=246.
This code was found by Heurico 1.16 in 0.104 seconds.