The generator matrix

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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+138x^54+36x^56+392x^57+126x^58+168x^59+672x^60+216x^61+432x^62+1438x^63+810x^64+864x^65+2304x^66+1152x^67+1212x^68+2466x^69+1242x^70+1080x^71+2004x^72+648x^73+450x^74+1020x^75+180x^76+132x^77+306x^78+116x^81+64x^84+12x^87+2x^90

The gray image is a code over GF(3) with n=102, k=9 and d=54.
This code was found by Heurico 1.16 in 7.07 seconds.