The generator matrix

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

generates a code of length 24 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+192x^57+228x^58+552x^59+1245x^60+1740x^61+2652x^62+2640x^63+4947x^64+6156x^65+8712x^66+8928x^67+12696x^68+16584x^69+22488x^70+18672x^71+24009x^72+26664x^73+27732x^74+19320x^75+19137x^76+14508x^77+11916x^78+5184x^79+3366x^80+1740x^81+78x^84+45x^88+12x^92

The gray image is a linear code over GF(4) with n=96, k=9 and d=57.
This code was found by Heurico 1.16 in 64.7 seconds.