The generator matrix

 1  0  1  1  1  1  1  0  1  3  1  1 15  1  1  1  1  1  1  1 24  0 15
 0  1  1 26 16 21 17  1 22  1 23 26  1 16 14 15 20 25  3  5  1  1  1
 0  0 24  0 18 18 21 15 12  3  6  6 12 15 21 12  0 12 21 21  6 18 12
 0  0  0  9 18  9  0  9  0  9  0  9 18  9  9 18 18  9  0 18  0  9  0

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

Homogenous weight enumerator: w(x)=1x^0+282x^40+390x^41+508x^42+1272x^43+2928x^44+1780x^45+3120x^46+5346x^47+1798x^48+1464x^49+510x^50+32x^51+168x^52+60x^53+10x^54+12x^55+2x^57

The gray image is a code over GF(3) with n=207, k=9 and d=120.
This code was found by Heurico 1.16 in 43.1 seconds.