The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+288x^70+141x^72+696x^74+372x^76+984x^78+444x^80+936x^82+168x^86+48x^88+12x^92+3x^96+3x^104

The gray image is a linear code over GF(4) with n=104, k=6 and d=70.
This code was found by Heurico 1.16 in 2.11 seconds.