The generator matrix

 1  0  1  1  1  1  1  1 18  1 24  1  1  1  1  1  1  1  1  1  0  1  1 12
 0  1  1 26 18 17  0 16  1 26  1  4  3 24  4 22 21  6 10 14  1 24 11  1
 0  0 24  9 21 12  6 15 12  6 15 24  3  6 18 12 24 21  0 12  6 18  9  0

generates a code of length 24 over Z27 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+378x^44+744x^45+648x^46+966x^47+732x^48+1296x^49+1008x^50+684x^51+54x^53+2x^54+24x^56+24x^57

The gray image is a code over GF(3) with n=216, k=8 and d=132.
This code was found by Heurico 1.16 in 30.1 seconds.