The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1  1  1 21  1  1  1  1  0  1  9  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  0  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24 19 21  1 23  4 20 20  1  0  1 24 26  8  0 20  1  9 23 11 11 18 23 16 24 26  1 20 21
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  9 18 18  0 18 18 18  0  9  9 18  0  9  0  9  0 18 18  9 18  9 18  0  0  0 18  9  0
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9 18  9  0  0 18 18  0 18  0  9  9  9  9  9 18  9 18  9  0  9 18 18  0  9  0 18 18 18
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9 18  9  0  9  9  0 18  0  9  9 18  9  9 18  9 18  9  9 18 18  0 18  9 18  0  0  0  0

generates a code of length 46 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+306x^84+144x^85+378x^86+918x^87+990x^88+1188x^89+1612x^90+2808x^91+2430x^92+2048x^93+2988x^94+1728x^95+1310x^96+360x^97+108x^98+286x^99+40x^102+22x^105+10x^108+6x^117+2x^126

The gray image is a code over GF(3) with n=414, k=9 and d=252.
This code was found by Heurico 1.16 in 4.76 seconds.