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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+120x^162+150x^165+266x^168+350x^171+4854x^174+458x^177+180x^180+60x^183+24x^186+16x^189+14x^192+18x^195+20x^198+14x^201+6x^204+2x^207+2x^210+2x^213+2x^216+2x^234

The gray image is a code over GF(3) with n=783, k=8 and d=486.
This code was found by Heurico 1.16 in 4.36 seconds.