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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+202x^174+90x^175+168x^176+302x^177+192x^178+570x^179+546x^180+552x^181+1440x^182+748x^183+516x^184+648x^185+118x^186+30x^187+42x^188+64x^189+42x^190+30x^191+92x^192+24x^193+12x^194+54x^195+12x^196+50x^198+6x^200+6x^201+2x^207+2x^255

The gray image is a code over GF(3) with n=819, k=8 and d=522.
This code was found by Heurico 1.16 in 0.767 seconds.