The generator matrix

 1  0  0  1  1  1
 0  1  0  1  a a^2
 0  0  1 a^6  a a^4

generates a code of length 6 over F8[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+840x^28+105x^32+10752x^35+11760x^36+168x^40+121856x^42+75264x^43+41160x^44+238x^48

The gray image is a linear code over GF(8) with n=48, k=6 and d=28.
This code was found by Heurico 1.16 in 0.371 seconds.