The generator matrix

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

generates a code of length 35 over Z9 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+162x^55+174x^56+746x^57+894x^58+1176x^59+3006x^60+2646x^61+3030x^62+5956x^63+6024x^64+6690x^65+11418x^66+9468x^67+11994x^68+16620x^69+12174x^70+13698x^71+16780x^72+11790x^73+10230x^74+11626x^75+6450x^76+4320x^77+4848x^78+2406x^79+1038x^80+1056x^81+438x^82+132x^83+92x^84+36x^85+6x^86+6x^87+12x^90+4x^93

The gray image is a code over GF(3) with n=105, k=11 and d=55.
This code was found by Heurico 1.13 in 84.2 seconds.