The generator matrix

 1  0  1  1  1  1  1  3  1 24  1  1  1  1  0  1  1  1  1 15  1  9  1  1  1  1  1  1  3  1  1  1  1 21  1  1 15  1  9  1 24  1  1  1  1 12  1 18  1  1  1  1  1 24  3  9  1  1  1  1 15  1  6  1  1  1  1  1 12  1  1  1  9  1 18  9  6  1  1 15  1  1  1 12  1  1  1  9 21
 0  1  1 26 18 25 26  1 26  1  0 16 16 18  1 17 26 18 13  1  8  1 19  9  4  9  2 18  1 23 19 14 21  1  6 19  1 11  1 24  1  6 16  2  4  1 14  1 24  1 20 15  2  1  1  1  7  6 22  1  1  7  1 12 21 24 14  8  1 25 24  7  1  3  3  1  1  1 20  1 21 26 18  1 20 22  3 18  1
 0  0 24  0 18  0  0  9  9  0 18 18 18  3 24 21 24 15 12 15  3  3 24  3 21 24  6 12  3  3 12  6  6  9 24  6  0  9  6 24  3  6 12 24 18 21 24 12 21 12 18  0  3 21 24 18  3 12  9 12  6  0 15  9  3 18  9  6 21  6 21 24  0 15 18  3 24 18  9  3 21 12  0 18  0  0  6  3 12
 0  0  0  3 21 12  9  3  6 15 24  9  6  6 15 24 24 12  0 21  3 21 21  9  6  6 21 21  9  0  3  0 18 15 12 15  0 12 21  9  6 24  3 15  6 21 12 24 12  9 18 24 18  9  0  3  6  9  0  0  0 15  6 18 24 12  3  0  6  3 21 18 12 24  3  0 15  3 24 21  6 18  9  0 18  3 24 18 12

generates a code of length 89 over Z27 who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+210x^167+380x^168+858x^169+1182x^170+1834x^171+2520x^172+2610x^173+3114x^174+5028x^175+3924x^176+4400x^177+6366x^178+4500x^179+4704x^180+5256x^181+3420x^182+2656x^183+2784x^184+1146x^185+840x^186+372x^187+246x^188+118x^189+66x^190+132x^191+90x^192+36x^193+72x^194+42x^195+36x^196+30x^197+30x^198+6x^199+12x^200+8x^201+12x^203+8x^204

The gray image is a code over GF(3) with n=801, k=10 and d=501.
This code was found by Heurico 1.16 in 13.7 seconds.