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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+52x^159+148x^162+234x^165+344x^168+432x^171+4374x^172+462x^174+290x^177+82x^180+36x^183+18x^186+22x^189+26x^192+10x^195+6x^198+14x^201+4x^204+2x^210+2x^213+2x^234

The gray image is a code over GF(3) with n=774, k=8 and d=477.
This code was found by Heurico 1.16 in 0.774 seconds.