The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+174x^40+150x^41+82x^42+162x^43+834x^44+66x^45+3198x^46+1188x^47+28x^48+222x^49+192x^50+56x^51+108x^52+66x^53+8x^54+24x^55+2x^66

The gray image is a code over GF(3) with n=207, k=8 and d=120.
This code was found by Heurico 1.16 in 0.162 seconds.