The generator matrix

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

generates a code of length 58 over F9[X]/(X^2) who´s minimum homogenous weight is 444.

Homogenous weight enumerator: w(x)=1x^0+3528x^444+8640x^445+360x^448+648x^449+1976x^450+4320x^451+15840x^452+26568x^453+37080x^454+1296x^456+5760x^457+4536x^458+7112x^459+10800x^460+26640x^461+49680x^462+60624x^463+10368x^465+23040x^466+12312x^467+14808x^468+19872x^469+45000x^470+66024x^471+74448x^472+48x^477+32x^486+24x^495+40x^504+16x^513

The gray image is a linear code over GF(9) with n=522, k=6 and d=444.
This code was found by Heurico 1.16 in 28.8 seconds.