The generator matrix

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

generates a code of length 23 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+51x^64+288x^65+108x^68+192x^69+60x^72+288x^73+36x^76

The gray image is a linear code over GF(4) with n=92, k=5 and d=64.
This code was found by Heurico 1.16 in 3.24e-008 seconds.