The generator matrix

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

generates a code of length 23 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+468x^63+150x^64+288x^65+240x^66+756x^67+240x^68+192x^69+540x^71+174x^72+288x^73+144x^74+540x^75+72x^76+3x^80

The gray image is a linear code over GF(4) with n=92, k=6 and d=63.
This code was found by Heurico 1.16 in 0.0179 seconds.