The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  1  1  1  1  3  1  1  1  3  1  3  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  3  1  1  1  1  1  3  1  0  1  1  1  1  1  3  1  1
 0  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  6  3  3  3  3  3  3  6  3  6  6  6  6  3  6  6  6  0  0  3  6  0  6  0  3  6  6  3  3  3  0  0  3  3  3  6  0  3  3  0  3  3  3  3  3  6  6  3  3  3  6  0  3  3  6  6  0  3  6  3  6  0  6  3  3  6  0  3  3  0  6  3  6  0  3  3
 0  0  3  0  0  0  0  0  0  0  0  0  0  0  0  6  3  6  6  3  0  0  0  0  6  3  6  6  3  3  6  3  6  6  6  6  3  3  3  3  0  6  3  3  6  3  6  0  0  3  6  0  0  6  6  0  6  6  0  6  3  6  3  3  0  0  3  0  6  0  3  3  6  0  6  0  6  0  0  3  6  0  0  6  0  6  6  6  0  0  6  6  0  3  0  6
 0  0  0  3  0  0  0  0  0  0  0  0  3  6  6  0  6  3  6  3  0  3  3  6  6  0  0  0  6  3  3  6  6  0  6  0  0  0  6  6  0  3  3  3  3  6  6  3  6  3  6  3  3  0  6  3  0  6  0  3  3  0  6  3  0  3  6  6  3  3  0  3  6  0  0  3  0  6  0  3  0  6  3  3  0  3  0  6  0  0  0  0  6  3  0  3
 0  0  0  0  3  0  0  0  0  3  6  6  6  0  0  0  3  3  6  6  0  3  6  6  6  0  6  3  3  6  0  6  6  6  0  6  6  0  6  6  3  6  6  3  6  0  3  0  6  0  3  0  6  3  0  6  0  6  0  3  3  6  6  6  0  0  0  0  0  3  6  0  3  3  0  6  6  3  6  0  6  6  3  6  0  0  0  3  0  3  6  6  0  0  6  6
 0  0  0  0  0  3  0  0  3  6  0  6  0  0  6  0  6  0  3  3  6  6  0  3  6  3  3  3  0  6  0  0  6  0  3  0  0  3  6  0  3  6  6  6  3  0  3  6  0  3  0  0  3  0  6  3  0  3  6  0  6  0  6  6  3  0  6  6  3  6  0  0  6  3  6  3  6  0  6  0  6  0  6  6  0  0  0  3  6  3  3  3  0  6  0  0
 0  0  0  0  0  0  3  0  6  6  3  0  6  6  6  6  6  6  3  6  6  0  3  3  3  6  0  6  6  3  3  0  6  6  6  0  0  3  6  3  3  3  3  6  6  0  3  6  0  0  6  6  3  6  6  0  0  0  3  0  3  3  0  3  3  6  3  3  0  6  0  6  3  0  3  0  3  3  6  3  6  3  0  6  3  6  6  3  0  3  6  6  0  0  0  3
 0  0  0  0  0  0  0  3  6  6  6  6  6  6  3  3  3  0  3  6  0  3  0  6  0  3  0  3  3  0  3  6  6  0  6  3  0  6  0  6  0  6  6  0  6  3  0  3  3  6  6  6  0  6  3  3  3  6  6  6  6  6  6  3  3  0  6  3  0  0  6  6  6  0  0  0  0  6  3  6  6  6  0  0  6  3  0  3  6  3  0  0  3  6  0  0

generates a code of length 96 over Z9 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+150x^168+274x^171+384x^174+440x^177+60x^178+462x^180+204x^181+468x^183+690x^184+500x^186+1878x^187+488x^189+2940x^190+450x^192+3480x^193+514x^195+2436x^196+456x^198+1230x^199+408x^201+204x^202+370x^204+322x^207+282x^210+214x^213+150x^216+102x^219+68x^222+32x^225+12x^228+10x^231+2x^234+2x^258

The gray image is a code over GF(3) with n=288, k=9 and d=168.
This code was found by Heurico 1.16 in 50 seconds.