The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+396x^66+516x^67+420x^68+1020x^69+2184x^70+1860x^71+1440x^72+2796x^73+4812x^74+2796x^75+2673x^76+5508x^77+8196x^78+4620x^79+4080x^80+6084x^81+7608x^82+3456x^83+1566x^84+1488x^85+1380x^86+576x^87+36x^88+21x^92+3x^96

The gray image is a linear code over GF(4) with n=104, k=8 and d=66.
This code was found by Heurico 1.16 in 5.42 seconds.