The generator matrix

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

generates a code of length 30 over Z9 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+28x^45+156x^46+312x^47+874x^48+1224x^49+1500x^50+2434x^51+3768x^52+3954x^53+5878x^54+8472x^55+8526x^56+11626x^57+14844x^58+13248x^59+15328x^60+17820x^61+13920x^62+13928x^63+13128x^64+7890x^65+6736x^66+4938x^67+2586x^68+1972x^69+1146x^70+540x^71+208x^72+114x^73+12x^74+24x^75+12x^78

The gray image is a code over GF(3) with n=90, k=11 and d=45.
This code was found by Heurico 1.13 in 64.7 seconds.