The generator matrix
1 1 1 1 1 1
0 X 0 X a*X a*X
0 0 X a^6*X a^2*X a^4*X
generates a code of length 6 over F8[X]/(X^2) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+105x^32+168x^40+3584x^42+238x^48
The gray image is a linear code over GF(8) with n=48, k=4 and d=32.
This code was found by Heurico 1.16 in 0.000475 seconds.