The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  1  1  0  0  1  1  3  1  3  0  1  1
 0  1  1  8  0  1  8  1  0  7  8  1  0  7  8  1  0  0  7  1  1  7  8  0  3  1  1  0  0
 0  0  6  0  0  0  0  0  0  6  3  6  0  3  0  0  3  6  3  6  3  3  0  3  6  0  6  0  0
 0  0  0  3  0  0  0  0  0  6  6  3  3  6  3  0  3  6  0  6  6  0  6  0  6  3  6  0  0
 0  0  0  0  3  0  0  0  0  0  0  0  0  0  6  6  6  6  3  6  6  3  0  6  3  6  3  3  0
 0  0  0  0  0  6  0  0  3  3  6  6  0  6  3  6  6  6  0  0  6  3  3  3  0  3  0  3  0
 0  0  0  0  0  0  3  0  3  0  3  3  6  6  6  3  6  3  6  6  0  6  0  3  0  3  0  3  0
 0  0  0  0  0  0  0  3  3  3  0  3  3  3  6  0  6  0  3  6  0  3  3  0  3  0  0  0  0

generates a code of length 29 over Z9 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+40x^39+6x^41+218x^42+6x^43+84x^44+308x^45+120x^46+432x^47+430x^48+702x^49+1392x^50+618x^51+2382x^52+3414x^53+758x^54+5502x^55+6066x^56+958x^57+8010x^58+7152x^59+1002x^60+6522x^61+5250x^62+798x^63+2640x^64+2088x^65+740x^66+360x^67+360x^68+400x^69+154x^72+98x^75+30x^78+6x^81+2x^84

The gray image is a code over GF(3) with n=87, k=10 and d=39.
This code was found by Heurico 1.16 in 14.7 seconds.