The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+108x^60+12x^61+12x^63+354x^64+132x^65+96x^66+180x^67+840x^68+792x^69+1152x^70+1080x^71+2223x^72+1992x^73+5184x^74+3240x^75+4191x^76+3900x^77+10368x^78+4860x^79+4989x^80+3828x^81+7776x^82+2916x^83+2835x^84+1632x^85+501x^88+273x^92+60x^96+9x^100

The gray image is a linear code over GF(4) with n=104, k=8 and d=60.
This code was found by Heurico 1.16 in 6.63 seconds.