The generator matrix

 1  1  1  1  1  1
 0  X  0  0  X  X
 0  0  X  0 a^6*X a^5*X
 0  0  0  X  X a^4*X

generates a code of length 6 over F8[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+140x^24+525x^32+1596x^40+28672x^42+1834x^48

The gray image is a linear code over GF(8) with n=48, k=5 and d=24.
This code was found by Heurico 1.16 in 0.0126 seconds.