The generator matrix

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

generates a code of length 24 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+210x^60+156x^62+96x^63+633x^64+336x^66+864x^67+1359x^68+936x^70+2592x^71+2475x^72+1104x^74+2592x^75+1926x^76+540x^78+408x^80+99x^84+51x^88+6x^92

The gray image is a linear code over GF(4) with n=96, k=7 and d=60.
This code was found by Heurico 1.16 in 1.68 seconds.