The generator matrix

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

generates a code of length 78 over Z9 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+374x^144+600x^147+744x^150+1196x^153+1002x^156+852x^159+944x^162+498x^165+186x^168+104x^171+6x^174+34x^180+18x^189+2x^198

The gray image is a code over GF(3) with n=234, k=8 and d=144.
This code was found by Heurico 1.16 in 17.6 seconds.