The generator matrix

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

generates a code of length 52 over Z9 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+146x^84+12x^86+302x^87+18x^88+96x^89+652x^90+126x^91+312x^92+1152x^93+342x^94+756x^95+2358x^96+1026x^97+1488x^98+4320x^99+2394x^100+2400x^101+5690x^102+3042x^103+2700x^104+7020x^105+3024x^106+2550x^107+5568x^108+2178x^109+1806x^110+3128x^111+828x^112+744x^113+1394x^114+144x^115+240x^116+552x^117+18x^119+280x^120+148x^123+58x^126+26x^129+10x^132

The gray image is a code over GF(3) with n=156, k=10 and d=84.
This code was found by Heurico 1.16 in 53.7 seconds.