The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+159x^64+132x^65+108x^66+192x^67+1629x^68+828x^69+420x^70+1104x^71+4629x^72+2040x^73+1224x^74+3216x^75+9537x^76+3720x^77+2328x^78+4848x^79+12432x^80+3972x^81+1740x^82+2928x^83+6084x^84+1596x^85+324x^86+237x^88+69x^92+30x^96+9x^100

The gray image is a linear code over GF(4) with n=104, k=8 and d=64.
This code was found by Heurico 1.16 in 6.22 seconds.