The generator matrix

 1  0  0  1  1  1  1  1  1 (a+1)X  1  1  1  1  1  1  1 aX  1  0  1  1  1  1
 0  1  0  1  a a+1 (a+1)X (a+1)X a+1  1  1 (a+1)X+a (a+1)X+a+1 (a+1)X+1 aX+a+1 aX+a+1  1  1 X+a (a+1)X aX+a+1 X+1 (a+1)X+1 aX
 0  0  1 a+1  a  1 a+1  1 X+a+1 a+1  1 X+1  a  0 X+1 (a+1)X a+1 (a+1)X aX+a+1  1 aX+a+1 (a+1)X+1 aX+a (a+1)X+a
 0  0  0  X  0  X  0  0 (a+1)X  X aX (a+1)X  X (a+1)X  X aX  0 aX  0 (a+1)X aX (a+1)X  0 aX
 0  0  0  0  X (a+1)X aX (a+1)X (a+1)X  X  X  X  0  0 aX (a+1)X (a+1)X  0  0  X aX aX  0 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+537x^60+384x^61+888x^62+1773x^64+2208x^65+2064x^66+4413x^68+6432x^69+5760x^70+7833x^72+9696x^73+6384x^74+6528x^76+5856x^77+3336x^78+1320x^80+81x^84+33x^88+9x^92

The gray image is a linear code over GF(4) with n=96, k=8 and d=60.
This code was found by Heurico 1.16 in 29.5 seconds.