The generator matrix

 1  0  0  0  1  1  1  1  1  0  1  1  0  1  3  1  0  3  1  1  1  1  3  1  3  3  1  1  1  0  1  3  1  6  1  1  1  0  1  1  1  1  6  1  1  1  1  6  3  1  1  6  1  0  1  6  1  1  6  1  3  1  1  6  1  1  3  6  3  1  3  1  1  1  1  0  1
 0  1  0  0  0  0  7  3  8  1  6  1  1  1  1  1  1  1  5  4  3  1  1  1  1  1  0  4  5  0  2  6  8  1  2  4  2  1  2  3  3  3  1  4  0  4  3  0  1  0  8  1  8  6  8  1  5  7  1  6  1  3  4  1  2  2  1  1  1  2  3  7  4  8  3  1  1
 0  0  1  0  0  0  5  7  2  6  7  8  3  1  2  6  4  4  7  5  5  3  0  0  1  4  4  5  1  1  1  1  8  5  6  4  3  5  6  1  5  6  8  5  6  7  0  1  5  7  1  6  2  1  6  0  4  6  3  2  8  8  6  1  1  5  5  1  8  4  1  6  2  3  8  2  3
 0  0  0  1  1  8  5  4  6  5  2  7  1  3  6  3  2  4  0  4  3  7  3  5  7  6  3  6  5  7  7  5  2  8  2  7  4  1  0  0  7  3  1  0  4  4  2  1  4  8  7  5  5  5  0  7  6  3  8  2  2  0  8  4  7  1  3  1  1  0  6  1  8  3  4  1  3
 0  0  0  0  6  0  0  0  0  0  3  6  6  6  3  3  6  3  0  3  3  0  6  3  0  6  6  0  6  0  6  0  3  0  0  6  6  6  0  0  0  3  3  6  6  3  3  3  0  3  3  0  0  6  6  0  6  6  6  3  6  3  6  0  3  0  0  3  6  3  0  3  6  6  6  3  0
 0  0  0  0  0  3  3  6  0  3  0  0  0  3  6  6  6  3  0  3  6  6  3  0  6  0  6  6  0  3  6  0  6  6  6  3  3  6  3  6  3  0  6  6  3  6  3  6  3  3  0  0  3  3  0  3  0  6  0  6  6  0  3  0  3  0  3  0  0  0  3  0  6  6  3  0  3

generates a code of length 77 over Z9 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+782x^138+2624x^141+4304x^144+6206x^147+7964x^150+8720x^153+8782x^156+8366x^159+5942x^162+3464x^165+1336x^168+436x^171+94x^174+10x^177+4x^180+2x^183+4x^186+6x^189+2x^192

The gray image is a code over GF(3) with n=231, k=10 and d=138.
This code was found by Heurico 1.16 in 62 seconds.