The generator matrix

 1  0  1  1  1  1  1  1  0  1  1 18  1 21  1  1  1  1  1  3  1  1 24  1  1  1  1  1  1 24  1 24  1  1  1  1 15  1  1  1  1 21  1  1  1 24 21  1  1  1  3  1  9  1 12  1  1  1  1  1  1  1  9  1  1  1  1  1  1  1  1  1  1  1 21  1 15  1  1  1  1  1  1  1  1  1 24  1
 0  1  1 26 21 20 16 24  1 26 13  1 17  1 18  4 23 19  0  1 15 25  1 20  3  4 16 23  1  1 15  1 24 16 14 21  1 23  1 18 11  1  2 18 15  1  1 21 26  7  1 13  1 15  1 12  6 12  8 23  5 24  1  8 20  4  9 17 19 26 11 12 24  3  1  1  1  4 11 25 19  3 24 12  5 13  1 20
 0  0 24  0 18 18  9  0 15  6  3  3 21 15  3 18  0 18  6 12 12 21 24  6  3 24 15 18 12 24 12 18 24 21 21 24  3  6  3 12 15 18 12  9  9  3 15 15 15  6 24 24 12 24 12 12 21 24 15  0  3 21  0  0  6  0 15  9  9 12 21  3  9  9 18  6  0 21 12  9 24 21  0  9 18  6 15 15
 0  0  0  9  9  0 18 18  9  0  9  0 18  0 18  0 18  9  9  9  9  0  9 18  0  9 18  0  0 18 18  0 18  9 18  0 18 18  9  9  9  9  0 18  0  0 18  9 18  0  9 18 18  0  0 18  0  9  9  9  0  9  9  0  0  9  0  0 18  0  9  9  9 18  0  9 18  0 18  0  9  9  9  0 18 18 18  0

generates a code of length 88 over Z27 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+424x^168+462x^169+558x^170+1852x^171+918x^172+1080x^173+2914x^174+1188x^175+1206x^176+2752x^177+918x^178+954x^179+2020x^180+552x^181+486x^182+810x^183+222x^184+90x^185+88x^186+48x^187+40x^189+18x^190+2x^192+12x^193+8x^195+30x^196+18x^198+6x^199+4x^204+2x^207

The gray image is a code over GF(3) with n=792, k=9 and d=504.
This code was found by Heurico 1.16 in 1.87 seconds.