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

generates a code of length 97 over Z27 who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+236x^183+150x^184+234x^185+548x^186+294x^187+330x^188+750x^189+666x^190+840x^191+1968x^192+2142x^193+3162x^194+3248x^195+2166x^196+858x^197+380x^198+144x^199+126x^200+314x^201+90x^202+138x^203+180x^204+78x^205+66x^206+208x^207+42x^208+60x^209+110x^210+30x^211+12x^212+54x^213+18x^214+6x^215+20x^216+12x^217+2x^276

The gray image is a code over GF(3) with n=873, k=9 and d=549.
This code was found by Heurico 1.16 in 3.62 seconds.