The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1  1 21  1  1  1  1  1  1  0  1  1  1 21  1  1  1  6  1  1  1 24  1  1 21  1  1  1  0  1 15  1  1  1  1  1  1 12 24  9 12  1 15 18  0  1  1  1  1  1  1  1  1 15  1 24  1  1  1  1  1  1  1  1  1  1  1  9  0  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24 23  1 19 20  4 21 20  4  1  0 24 26  1 23 19 21  1 16  8 24  1 19 16  1 23 21  9  1  4  1 13 10 16  0 25 25  1  1  1  1 12  1  1  1 13  0  9  3 18 16 22 22  1  5  1  5  6 12  6 21 16 26 26 23 20 10  1  1 19
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  0  9  0  9 18  9  9  9  0  0 18  0 18 18 18 18  0  0 18 18  9  9  9  0  0 18  9 18 18  9  9 18  9  0  0 18  9  9  0  0  0  0  9  0 18 18 18  9 18  9 18  9 18  9  9  0  9 18  0 18  9  0 18 18  0  0  9  0 18
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  0  9  9  0 18  0  9 18  9 18 18  9 18  0  9  0  0 18  9 18  9  9  9 18  0  9 18  0  9 18  0  0 18 18  0 18  0 18  0  0 18  9  0  9  9  0  0  0  9 18  0  9  9  9  0 18 18  0  9 18  9  0  0  0  9 18 18 18  9
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  0 18  9  0  9  9 18  9  0  9  9 18  0  0 18  9  9  9  0  9  0  0  0  9  0  9  9  9  9  0 18 18  0  9 18  0  9 18  9  9  0  0 18  0 18 18  9  0 18  0 18  9  9  9 18  9  0  9  9  0 18  0  0 18  0 18 18

generates a code of length 87 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+250x^165+240x^166+528x^167+1462x^168+660x^169+990x^170+1880x^171+1080x^172+912x^173+2624x^174+1680x^175+1404x^176+2412x^177+984x^178+840x^179+1058x^180+162x^181+168x^182+178x^183+24x^184+12x^185+42x^186+30x^187+6x^188+38x^189+2x^192+4x^195+2x^204+4x^210+2x^213+2x^216+2x^219

The gray image is a code over GF(3) with n=783, k=9 and d=495.
This code was found by Heurico 1.16 in 1.82 seconds.