The generator matrix

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

generates a code of length 51 over Z9 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+672x^86+540x^87+2724x^89+1958x^90+6120x^92+3792x^93+11544x^95+6616x^96+17076x^98+10008x^99+22776x^101+11624x^102+23922x^104+11160x^105+17826x^107+8066x^108+10368x^110+3654x^111+3984x^113+1330x^114+984x^116+238x^117+102x^119+42x^120+8x^123+6x^126+4x^129+2x^141

The gray image is a code over GF(3) with n=153, k=11 and d=86.
This code was found by Heurico 1.13 in 552 seconds.