The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+100x^42+198x^43+216x^44+136x^45+804x^46+432x^47+114x^48+72x^49+32x^51+54x^52+20x^54+6x^55+2x^63

The gray image is a code over GF(3) with n=207, k=7 and d=126.
This code was found by Heurico 1.16 in 0.0106 seconds.