The generator matrix

 1  0  1  1  1  1
 0  1  1  a a^6*X+a^2 a^3
 0  0 a^6*X a*X a^3*X a^5*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+2688x^35+168x^40+10752x^42+18816x^43+238x^48

The gray image is a linear code over GF(8) with n=48, k=5 and d=32.
This code was found by Heurico 1.16 in 0.00721 seconds.