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

generates a code of length 87 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+192x^163+264x^164+130x^165+432x^166+666x^167+370x^168+630x^169+1218x^170+1556x^171+972x^172+2748x^173+2316x^174+900x^175+2640x^176+1900x^177+540x^178+654x^179+176x^180+282x^181+192x^182+50x^183+162x^184+192x^185+28x^186+138x^187+114x^188+4x^189+78x^190+36x^191+22x^192+36x^193+12x^194+6x^195+6x^196+12x^197+6x^199+2x^228

The gray image is a code over GF(3) with n=783, k=9 and d=489.
This code was found by Heurico 1.16 in 3.79 seconds.