The generator matrix

 1  1  1  1
 0  X  0  0
 0  0  X  0
 0  0  0  X

generates a code of length 4 over F8[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+28x^8+294x^16+1372x^24+28672x^28+2401x^32

The gray image is a linear code over GF(8) with n=32, k=5 and d=8.
This code was found by Heurico 1.16 in 0.00509 seconds.