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

generates a code of length 51 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+80x^81+230x^84+12x^86+414x^87+120x^89+418x^90+354x^92+518x^93+1236x^95+558x^96+1920x^98+604x^99+3180x^101+768x^102+3432x^104+672x^105+1848x^107+710x^108+840x^110+516x^111+180x^113+500x^114+280x^117+174x^120+62x^123+40x^126+8x^129+8x^132

The gray image is a code over GF(3) with n=153, k=9 and d=81.
This code was found by Heurico 1.16 in 8.35 seconds.