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  3  1  1  3  1  1  1  1  3  1  1  1  1  1  1  3  1  1  1  3  1  1  1  1  1  1  1  1  1  1  3  3  3  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0  9  0 18  9  0 18  9 18 18 18  9  9  9  0 18 18  0  0  0  9 18  9  0  9 18 18  9 18  0 18  9  0  9  0 18 18  9  9  9 18  0  0  0  9  9  0  0  0  0  0 18  9  9 18  0  9 18  9  0  0 18  9  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18 18  0  9  9 18  0  9  0 18 18 18  9 18  0 18 18  9  9 18 18 18 18  0 18  0 18  0  9  9  0  9  9  9 18  9  9 18  9  9  9  9  9  9  9  0  0 18  9  0 18 18 18  9  9 18 18 18  0  0  0  0  0  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0  0 18 18  9 18  0  9 18 18  9  9  9 18 18 18  0 18  9 18  9 18  9  9 18  0  9  0 18  9  9 18  9 18 18  0  9  9  0  9 18  9  9  9  0  0 18  9  0  0  9  0
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18  0  9 18  0 18  9  0  9  0  9  0 18  0 18  0 18  9 18  0  9 18  9 18 18  0 18  0  9 18  9  0 18 18  0  9 18  0  0  0  9  9  0  9 18  0  0  9  9  0  0 18 18  9 18 18  0  9  9  0 18 18  9  0
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  0  9  9  0  9  0  0  9 18  9  9  9  9  0  9  9  9 18  9 18 18  9  0  9  9  0  0  9 18 18  0  9 18 18  0  0 18  9 18 18  0 18  9  9  9 18  0  0  0  9  0

generates a code of length 85 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+36x^156+102x^159+30x^160+102x^162+114x^163+122x^165+222x^166+72x^168+396x^169+4374x^170+58x^171+426x^172+50x^174+210x^175+36x^177+60x^178+30x^180+22x^183+28x^186+22x^189+14x^192+4x^195+10x^198+8x^201+8x^204+2x^207+2x^231

The gray image is a code over GF(3) with n=765, k=8 and d=468.
This code was found by Heurico 1.16 in 0.753 seconds.