The generator matrix

 1  1  1  1  1  1
 0  X  0  0  0  X
 0  0  X  0  0 a^6*X
 0  0  0  X  0  X
 0  0  0  0  X a^6*X

generates a code of length 6 over F8[X]/(X^2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+105x^16+840x^24+4515x^32+12600x^40+229376x^42+14707x^48

The gray image is a linear code over GF(8) with n=48, k=6 and d=16.
This code was found by Heurico 1.16 in 0.548 seconds.