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  3  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  0  3  1  3  1  0  1  1  1  1  1  3  1  1  1  1  1
 0  3 24  0 21 24  9 21  6  0 21 24 18 12 15 24 21  0 18 24  3  6 18 21  3  0 24  6  0 12  0 21 15  3 24  9 21  0 21  9 15 18  3 24 12  6 24  6 12 21  6  9  6 12  9 21  6  0 21 15 15 21 12 24 24 15 12  9  3 21  3 24  3  3  3  0 18 18  6 21  9  0 21  0 21
 0  0  9  0  0  0  0  0 18  0 18 18  0  9  0  9  9  0  0  9  0  9  0 18  9  9  0 18  9  9 18 18  9  9  0  9  9 18  0  9  9 18  0  0  0 18  9  9  9  0  9  9  0 18 18 18  9 18  9  0  0  0 18 18  9  0  9  0  9 18  0  0 18  9  9 18  0  9  9 18  0 18  9  0  9
 0  0  0  9  0  0 18  0  0  9 18 18  9  9  9  0 18 18  9  9  9  9 18  0  9  9  9  9  0  9 18  0  0 18  0 18  0  9 18 18 18  9  9  0  0  9  9 18  0 18 18  9  0  9  0  9  9  0 18  0  9 18 18  9  0  9 18  0  0 18  9 18 18  0  0 18  9 18 18  9  0  0  9  0  0
 0  0  0  0 18  0  0  9  0 18 18  9  9 18 18  9  9  0  9  0 18  9 18  9  9  0  9  0  9  0  9  9  9  9  0  9 18  0  9 18  0  0 18  9  9 18  0  0  0 18 18  0 18  0  9 18 18 18  9  0 18  9 18  0  0  9 18  0  0 18  0  0  9  9  9 18  0  0  9  0  9 18  0 18 18
 0  0  0  0  0  9  0  0 18 18  0 18  9  0  9 18  9  9 18 18  9  9  0  0 18  0  9  0  0 18  0 18  9  0 18  9 18 18  9  9  0  9 18 18  9  0  9  9  0  0 18  9  0  9 18  0 18 18 18  0 18 18 18 18 18  0  0 18 18  0 18 18 18  9 18  9 18  9  9  9  9  9  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+106x^156+438x^159+720x^162+162x^164+920x^165+972x^166+972x^167+1086x^168+3888x^169+1944x^170+1004x^171+3888x^172+1296x^173+874x^174+666x^177+346x^180+218x^183+100x^186+32x^189+22x^192+10x^195+10x^198+2x^201+4x^204+2x^234

The gray image is a code over GF(3) with n=765, k=9 and d=468.
This code was found by Heurico 1.16 in 3.43 seconds.