The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 a^6*X  1  1  1  X  1  1  1  1  1  1  1  1 a^3*X  1  1  1  1  1  1  1  1  1 a^2*X  1  1  1  1  1  1 a^5*X
 0  1  0  1  a a^2 a^6*X+a^3 a^6*X+a^4 a^5 a^6 a^6*X a^6*X+1 a^6*X+a a^6*X+a^5  1 a^6*X+a^2 a*X X+a^5  1 a^2*X+a^2 a^5*X+1 a^3 a^4*X+a a^3*X+a^2 X+a^3 X+a a^4*X+a^6  1 a^2*X+a^3 a^4*X+a^5  X X+a X+a^4 X+1  1 a^5*X+a^5 a^2*X  1 X+a^2 X+a^2 a^2*X a^4*X+1 a^4*X+a a^6*X+a^5  1
 0  0  1 a^6  a a^4  1 a^5 a^3 a^2 a^3*X+1 a*X+a^5 a*X+a^4 X+a^2 X+a^6 a*X+a^3 a*X+a a^6*X+a^5 a^2*X+a a^4*X+a^2 a^6*X+a^3 a^3*X+a a^3*X+a^5 a^6*X a^6*X+a^6 a^3*X+a^6 a^2*X+a^3 X+1 a^2*X+a^2 X+a^6 a^2*X+a^4 X+a X+1 a^4*X+a^6 a^5*X+1 a^6*X+a^4 a^4*X+a^3 a^4*X+a^5 a^3*X+a^6 a*X+1 a*X+a^2 a^3*X+a^3 a^4*X+1 a^6*X+a^2 a^4*X+a^2

generates a code of length 45 over F8[X]/(X^2) who´s minimum homogenous weight is 298.

Homogenous weight enumerator: w(x)=1x^0+4816x^298+2520x^302+11235x^304+29064x^306+448x^308+15120x^310+22848x^312+43456x^314+3136x^316+36120x^318+37996x^320+55272x^322+105x^336+7x^352

The gray image is a linear code over GF(8) with n=360, k=6 and d=298.
This code was found by Heurico 1.16 in 42.3 seconds.