The generator matrix

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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+186x^55+300x^56+390x^57+750x^58+1104x^59+1158x^60+1980x^61+2382x^62+2044x^63+3432x^64+4098x^65+3074x^66+5136x^67+5388x^68+3820x^69+5016x^70+4812x^71+3004x^72+3768x^73+2892x^74+1472x^75+1296x^76+798x^77+280x^78+294x^79+96x^80+30x^81+12x^82+14x^84+16x^87+6x^90

The gray image is a code over GF(3) with n=102, k=10 and d=55.
This code was found by Heurico 1.16 in 49 seconds.