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

generates a code of length 46 over Z27 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+150x^85+108x^86+210x^87+414x^88+234x^89+650x^90+840x^91+1308x^92+1120x^93+780x^94+198x^95+106x^96+78x^97+54x^98+58x^99+96x^100+24x^101+32x^102+60x^103+18x^104+8x^105+12x^106+2x^126

The gray image is a code over GF(3) with n=414, k=8 and d=255.
This code was found by Heurico 1.16 in 0.19 seconds.