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

generates a code of length 26 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+864x^50+96x^51+972x^53+26x^54+42x^57+108x^59+12x^60+2x^75

The gray image is a code over GF(3) with n=234, k=7 and d=144.
This code was found by Heurico 1.16 in 0.015 seconds.