The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1 12  1  1  9  1  1  1 12 12  1  1  1  9 12  1  1  1  9  1  1 21  1  1  1  1  1  1  6  1  0  0 18 21  1  1  1  1  3  1  1  3  1  1  1  3  1  1  1  1  1  1 21 24  1  1  1  6  1 18  1  6  1  1  1  1  1  1  1  1  1 18  9  3  1  1  3  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24  0 21 18 19  1 11 23 13  1  1 14 10 12  1  1 15 15  7  6 23 17  1 10  8  9 16  0 17 15 18  1  1  1 24 22  8  7  6  1 13 21 15  1  9 11  1 15 22 24 17 11 25  1  3 26 22  9  1  2  1 16  1  2 22 12  5  6 24 19 15 17  1  3 21  7 26 12 21  0
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 23  1 18 18 19  5 21  2  3 17  1  1 21  9  1  4 23 24  1 25 20 17 10 21 19 17  3 13  1  8 24  8 22  1  4 24 16  0  3  8  8  1 15 26 25 12 16 10 24 15 15  2 13  1  0 18 13  0 25 12 26  2 19 18 14  2  2 14 10 18  4 13  1  1 20 20  1  2  0
 0  0  0 24 18  9  0  9  0 18 18  0  9  0  9  0 12 18 18  3 24 24  6 12 15 21 15  3 24  3 24 24 12 21 15  6 15 21 21  3 12  3 24 15  9 15 12  3 12 18 15  9 21  9 12  6 12 12 24 12 21 24 12 24 21 15  9  3 15  6  9  0  6  6  6  3  3 12  0  0  6  9  6 24 18 15  9  3 12 21 12  3 21

generates a code of length 93 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+238x^174+492x^175+1740x^176+2976x^177+3420x^178+5964x^179+8154x^180+7308x^181+9870x^182+13010x^183+11304x^184+13758x^185+16278x^186+13710x^187+15000x^188+15454x^189+9792x^190+9540x^191+7644x^192+3978x^193+3072x^194+2074x^195+834x^196+666x^197+364x^198+126x^199+90x^200+76x^201+30x^202+36x^203+48x^204+18x^205+24x^206+12x^207+18x^208+12x^209+2x^210+6x^212+8x^213

The gray image is a code over GF(3) with n=837, k=11 and d=522.
This code was found by Heurico 1.16 in 95.5 seconds.