The generator matrix

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

generates a code of length 47 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+168x^84+618x^85+1740x^86+2676x^87+4656x^88+6810x^89+8460x^90+12984x^91+16044x^92+17648x^93+24378x^94+22674x^95+18132x^96+17316x^97+11358x^98+5860x^99+2958x^100+1518x^101+658x^102+186x^103+84x^104+78x^105+60x^106+30x^107+22x^108+24x^109+6x^110

The gray image is a code over GF(3) with n=423, k=11 and d=252.
This code was found by Heurico 1.16 in 44 seconds.