The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7  0 a^7 a^5 a^7*X+a^6 a^3  1  a a^7*X+a^2 a^7*X+a^6  0  X
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X 2*X a*X a^7*X a*X  X a*X  X  X a^6*X 2*X 2*X a^3*X a^5*X
 0  0  0  X a^7*X a^7*X  X a*X  X a^2*X a^5*X a^6*X a^5*X a^3*X  0 a^6*X a^2*X a^7*X a^3*X a^7*X a^3*X

generates a code of length 21 over F9[X]/(X^2) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+584x^144+216x^145+3888x^152+2856x^153+3240x^154+11664x^160+62208x^161+14904x^162+16200x^163+93312x^169+248832x^170+38536x^171+32832x^172+1632x^180+536x^189

The gray image is a linear code over GF(9) with n=189, k=6 and d=144.
This code was found by Heurico 1.16 in 9.07 seconds.