The generator matrix

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

generates a code of length 23 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+99x^60+108x^61+48x^63+486x^64+144x^65+288x^67+867x^68+264x^69+432x^71+933x^72+144x^73+129x^76+108x^77+33x^80+9x^84+3x^88

The gray image is a linear code over GF(4) with n=92, k=6 and d=60.
This code was found by Heurico 1.16 in 0.0281 seconds.