The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  0  1 24  1  1 21  1  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1  1  1 12  1  9  1 24  1  1  1 21  1  1  1  1  0  1  9 12  9 12  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26  0  1 16  1 24 23  1 19 20  4 21 20  4  1  0 24 26  1 23 19  1 21 26 16  4 21  1 16  1 24  1 13  6  0  1 16 19  7 22  1 13  1  1  1  1  1 12  8  4 26 17 22  9  0 24  6 18 12  3  9
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  0 18  0  0  9  0  9 18  9  9  9  0  0 18  0 18 18 18  9 18  0  9  9 18  0  0  9  9  0 18 18  0  9  9 18  9  9 18 18  0 18 18 18 18  9 18 18 18 18  9  9  9 18  0  9  0  9 18
 0  0  0  9  0  9  9  9 18 18  0 18  9  0  9 18  0  9  0  9  9  0 18  0  9 18  9 18 18  9 18  0  9  9  9  0  0  9  0  0 18  0 18 18  9 18 18 18 18  9  9  9  9  0  0  0 18  9  0  0  0 18 18  0 18  0  9  9  0 18 18 18  9
 0  0  0  0 18 18  0 18 18  9 18 18  0 18 18 18 18  9  9  9  0 18  9  0  9  9 18  9  0  9  9 18  0  0  9  0  9  9  0 18  9  0  0  0  9  9 18  9 18 18  0 18  9 18  9  9  0 18 18 18 18 18 18  9  0  9 18  0 18  9  0 18  9

generates a code of length 73 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+514x^138+306x^139+630x^140+1760x^141+612x^142+1206x^143+2580x^144+486x^145+1836x^146+3128x^147+882x^148+1854x^149+2266x^150+576x^151+306x^152+476x^153+54x^154+116x^156+56x^159+24x^162+4x^171+2x^174+4x^177+2x^180+2x^183

The gray image is a code over GF(3) with n=657, k=9 and d=414.
This code was found by Heurico 1.16 in 2.89 seconds.