The generator matrix

 1  0  0  0  1  1  1 18 24  1  1  1  1  1  1  1  1  1 18  1 15  1  1
 0  1  0  0 18  9  3  6  1 16 13 25  8  2 17 11 14 19  1  6  1 11  2
 0  0  1  0 16 21 26  1 25 20 10 22 13  4 12 17 11  2  2 18 14 23 21
 0  0  0  1 14 20 25 25  2  1 11 24 21 13 19 23  9 15  8 22 21 24 21

generates a code of length 23 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+1206x^38+2114x^39+5148x^40+8994x^41+23610x^42+27522x^43+59448x^44+72162x^45+88776x^46+108192x^47+74126x^48+37134x^49+15738x^50+6522x^51+342x^52+330x^53+62x^54+6x^56+8x^57

The gray image is a code over GF(3) with n=207, k=12 and d=114.
This code was found by Heurico 1.16 in 146 seconds.