The generator matrix

 1  0  1  1  1  1  1  1 21 24  1  1  1  1  0  1  1 24  1  1  1  1  3  1  1 15  1 21  1  1  1  1  1  1  1  0  1  1 21  1  1 21  1  1  1 15  1  1  1  1  1  1  1  1 18  1 12  1  1 18  1  1  1  1  1  1  1  6  1 21 24  1  1  1  3  1  1 18  1  3  0  1 21  1  1 18 15  1
 0  1  1 26 21 24 20 23  1  1 16  4 18 17  1  1  3  1 20 25 22 15  1 23 26  1 21  1 14 16 19 24 20 25 20  1  0 18  1 26 21  1  0 13 25  1 21  2 19 21 11 24 22 16  1  0  1 16 13  1 12 13  0 10 20 15 14  1  4  1  1  8 19 26  1 10 15  1 26 18  3 22  1  2 11  1  1  4
 0  0 24  0  0  9 18  0  9  9 15 24 21 12  6  3 21 24 15  3 12 21 21  6 24 12  6 24 12 24  6 15  6 21  9  6 15 12  0 15  9 15  0  9  0 21  9 12  9  3  9  6 18 24 21 12 24  9 21 21 21 12 18  0 21  0 12 12 12 18 24  0 18 18 12 12 24  9  0 15 21  6  0 21 18  6  6  6
 0  0  0  9  0  0  0 18  9 18 18  9 18  0  0  0  9 18  0 18  9  0  0 18  0 18  0  9  9  9  9 18 18 18  9 18 18 18  0  9 18  0  9  0 18  9 18 18 18  9  0  9  9  0 18  9  0  9  0  9  0 18 18 18  9  0  9  9  0  9  9 18  0  9  0  9 18  0 18  0  0 18 18  0  0  0  9  0
 0  0  0  0 18  9  9 18  9 18  0  0 18  0  9  0  9 18  0  9 18  9 18  9  9  0  9 18  0  9 18  9 18  0  9  9 18  0 18  0  0 18  0  9  9  9 18  9  0  9  0  0  9  9  9 18  0  0 18  0  0  9  0 18 18  0  9 18  9  0  9 18 18 18  0  9  0 18  9  0  9  9  0 18 18 18 18  0

generates a code of length 88 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+406x^165+90x^166+486x^167+2280x^168+1008x^169+2304x^170+4012x^171+2394x^172+3672x^173+5874x^174+3384x^175+4230x^176+7810x^177+3744x^178+4284x^179+5128x^180+2196x^181+2106x^182+1952x^183+306x^184+414x^185+406x^186+296x^189+154x^192+52x^195+56x^198+2x^201+2x^207

The gray image is a code over GF(3) with n=792, k=10 and d=495.
This code was found by Heurico 1.16 in 14.7 seconds.