The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+152x^48+24x^49+144x^50+316x^51+780x^52+576x^53+3538x^54+4200x^55+3168x^56+12496x^57+8238x^58+5040x^59+12572x^60+5592x^61+1206x^62+550x^63+120x^64+72x^65+178x^66+50x^69+22x^72+8x^75+4x^78+2x^81

The gray image is a code over GF(3) with n=261, k=10 and d=144.
This code was found by Heurico 1.16 in 20 seconds.