The generator matrix

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

generates a code of length 49 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+116x^81+174x^82+558x^83+930x^84+1086x^85+1920x^86+2624x^87+2496x^88+4362x^89+4534x^90+4794x^91+7428x^92+7748x^93+8154x^94+10518x^95+10434x^96+10758x^97+13716x^98+12032x^99+10716x^100+12600x^101+10390x^102+8136x^103+8886x^104+6582x^105+4278x^106+4164x^107+2742x^108+1434x^109+1230x^110+718x^111+390x^112+222x^113+154x^114+72x^115+6x^116+20x^117+14x^120+6x^123+4x^126

The gray image is a code over GF(3) with n=147, k=11 and d=81.
This code was found by Heurico 1.13 in 136 seconds.