The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  9  1  1  1  1 21  3  9  1  1  1
 0  1  0 15  9 16  1 14  2  1  7 26  1 12  8 21 20  1  1  1 12  5 18
 0  0  1 16 17 14  1 21 10 16  6  8 26 24 12  5 13 18 13 14 22  2 20

generates a code of length 23 over Z27 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+600x^41+468x^42+1746x^43+2832x^44+1742x^45+3636x^46+4014x^47+1720x^48+1746x^49+1110x^50+30x^51+30x^53+6x^54+2x^57

The gray image is a code over GF(3) with n=207, k=9 and d=123.
This code was found by Heurico 1.16 in 0.248 seconds.