The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0 18  9  9  9  9  9  9  9  9  9 18  0  0  9  9 18  9  0  0  0  9  0 18  9 18  9 18  9 18  0 18  0  9  0  9  0  9  0  0  9 18 18 18 18  0  9  9  0  0 18 18 18  9 18 18 18  0  9 18  0  9 18  0  9 18 18 18 18 18 18 18  0  0  0  0  9  9  0  9
 0  0  9  0  0  0  9  9  9 18  0  9 18  9  9 18 18  0  9  9  0  9  0 18  0  9  0  9  0  0  9  9  0  0  9  0  9  0  9  9  0  0  9 18  9 18  0 18  0 18 18  9  0 18  9 18 18 18 18 18  0  9 18 18 18 18 18 18 18 18  9  0 18  0  9  0  9 18  0  9 18  0  0  0  9 18  9  9 18
 0  0  0  9  0  9 18 18  9 18  0  0 18 18  0  0  9  9  9 18  9  9  9 18  0 18  9  0 18 18 18 18  0  0  9 18  0 18  0  0 18 18  9  9  9  0  9  9  0  0  9  9 18 18  9  9 18  0  9 18 18  0  9  0  0 18  0  0  0 18  0  9 18 18 18  0 18  9  9  9  9  0  0  9 18 18  9  0 18
 0  0  0  0  9 18 18  0 18 18  9  9 18  9  0  9  9 18 18 18 18  9  9  0 18  0  9 18  0 18  0  9  0  9  9 18  9  0  0  9 18  9  9 18  0  9  0  9 18 18  9 18  0 18  0 18  9  0  0  0  9 18  0  0 18  9 18  0  9  0 18  9  9  9  9 18 18 18  0  0  0  0  9 18 18 18  9 18  9

generates a code of length 89 over Z27 who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+22x^171+42x^174+60x^177+1944x^178+76x^180+30x^183+10x^186+2x^267

The gray image is a code over GF(3) with n=801, k=7 and d=513.
This code was found by Heurico 1.16 in 0.357 seconds.