The generator matrix

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

generates a code of length 79 over Z9 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+174x^144+186x^145+264x^146+876x^147+372x^148+486x^149+1288x^150+588x^151+582x^152+1510x^153+570x^154+552x^155+1414x^156+660x^157+642x^158+1606x^159+552x^160+666x^161+1472x^162+516x^163+474x^164+1140x^165+498x^166+378x^167+750x^168+246x^169+216x^170+522x^171+132x^172+78x^173+114x^174+36x^175+24x^176+62x^177+18x^178+12x^179+2x^180+2x^183+2x^186

The gray image is a code over GF(3) with n=237, k=9 and d=144.
This code was found by Heurico 1.16 in 7.63 seconds.