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.