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

generates a code of length 38 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+130x^54+378x^57+580x^60+976x^63+54x^64+1284x^66+648x^67+1786x^69+3240x^70+2282x^72+8640x^73+2646x^75+12960x^76+2602x^78+10368x^79+2404x^81+3456x^82+1944x^84+1328x^87+710x^90+372x^93+176x^96+58x^99+18x^102+8x^105

The gray image is a code over GF(3) with n=114, k=10 and d=54.
This code was found by Heurico 1.16 in 41.5 seconds.