The generator matrix

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

generates a code of length 52 over Z9 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+222x^87+270x^88+522x^89+1286x^90+1296x^91+1548x^92+3028x^93+2898x^94+3498x^95+5834x^96+5022x^97+5670x^98+9246x^99+7794x^100+8820x^101+12918x^102+9924x^103+10998x^104+14430x^105+10020x^106+9696x^107+12286x^108+8208x^109+7014x^110+7980x^111+4722x^112+3378x^113+3622x^114+1794x^115+1122x^116+1014x^117+468x^118+222x^119+260x^120+60x^121+26x^123+12x^124+8x^126+6x^129+4x^132

The gray image is a code over GF(3) with n=156, k=11 and d=87.
This code was found by Heurico 1.13 in 144 seconds.