The generator matrix

 1  0  1  1  1  1  1  1
 0  1  1  a  0  0  0  0
 0  0 (a+1)X  0  0  0  X  0
 0  0  0  X  0  0 aX  0
 0  0  0  0  X  0 (a+1)X  0
 0  0  0  0  0  X  X  0

generates a code of length 8 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+45x^8+48x^9+138x^12+432x^13+405x^16+1440x^17+780x^20+11808x^21+13371x^24+31536x^25+1098x^28+3888x^29+546x^32

The gray image is a linear code over GF(4) with n=32, k=8 and d=8.
This code was found by Heurico 1.16 in 0.358 seconds.