The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+312x^144+210x^145+222x^146+786x^147+432x^148+456x^149+1156x^150+438x^151+540x^152+1524x^153+654x^154+594x^155+1428x^156+642x^157+780x^158+1576x^159+546x^160+606x^161+1608x^162+534x^163+516x^164+1266x^165+462x^166+432x^167+674x^168+240x^169+150x^170+338x^171+162x^172+72x^173+176x^174+30x^175+6x^176+40x^177+18x^178+20x^180+6x^181+8x^183+10x^186+4x^189+8x^192

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 14.9 seconds.