The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+174x^42+210x^43+474x^44+1068x^45+1026x^46+1320x^47+2474x^48+2250x^49+2610x^50+4632x^51+4062x^52+4824x^53+6488x^54+4944x^55+4872x^56+5674x^57+3534x^58+2646x^59+2910x^60+1308x^61+660x^62+564x^63+150x^64+90x^65+58x^66+12x^67+6x^69+6x^72+2x^75

The gray image is a code over GF(3) with n=81, k=10 and d=42.
This code was found by Heurico 1.13 in 6.17 seconds.