The generator matrix

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

generates a code of length 94 over Z27 who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+708x^179+1002x^180+2076x^181+3408x^182+3262x^183+3834x^184+5178x^185+3874x^186+4560x^187+4848x^188+4508x^189+4266x^190+4050x^191+3114x^192+2844x^193+2718x^194+1606x^195+1188x^196+1218x^197+324x^198+168x^199+174x^200+30x^201+42x^203+4x^204+12x^205+12x^206+6x^208+2x^210+6x^213+6x^216

The gray image is a code over GF(3) with n=846, k=10 and d=537.
This code was found by Heurico 1.16 in 11.3 seconds.