The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 0 0 0 0 X X X aX aX (a+1)X 0 0 X aX aX X X 0 X aX aX 0
0 0 X 0 0 X (a+1)X (a+1)X aX 0 (a+1)X 0 aX X X (a+1)X aX 0 aX (a+1)X (a+1)X 0 0 X
0 0 0 X 0 (a+1)X 0 (a+1)X X aX (a+1)X aX (a+1)X (a+1)X (a+1)X 0 aX aX X 0 0 (a+1)X 0 X
0 0 0 0 X X X (a+1)X (a+1)X (a+1)X aX X (a+1)X (a+1)X (a+1)X (a+1)X aX 0 0 X aX X X (a+1)X
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+108x^60+189x^64+162x^68+3222x^72+147x^76+129x^80+96x^84+24x^88+15x^92+3x^96
The gray image is a linear code over GF(4) with n=96, k=6 and d=60.
This code was found by Heurico 1.16 in 0.0561 seconds.