The generator matrix

 1  0  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  1  1  1  X  1  1  1  X  1
 0  1  1  a a+1  0 (a+1)X+1  a  1 (a+1)X+a+1 (a+1)X+1  a  0 (a+1)X+a+1  1 (a+1)X+1 (a+1)X+1  a  1  0  1 X+a (a+1)X+a+1 aX+a aX  0
 0  0 (a+1)X  0  0  0  X aX aX  X  X  X  X  0  0 aX aX  X (a+1)X aX aX aX  0  0 (a+1)X  0
 0  0  0  X  0  X (a+1)X  X aX aX aX (a+1)X  0 aX aX  X  0 (a+1)X (a+1)X aX  0  X aX aX  0  0
 0  0  0  0 (a+1)X (a+1)X (a+1)X aX  X  0 aX  X  X (a+1)X aX (a+1)X  X  0 aX aX (a+1)X  X  X  0  0  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+99x^64+60x^65+96x^67+315x^68+432x^69+576x^71+669x^72+1032x^73+1536x^75+813x^76+1776x^77+2496x^79+1122x^80+2076x^81+1440x^83+858x^84+768x^85+105x^88+69x^92+36x^96+9x^100

The gray image is a linear code over GF(4) with n=104, k=7 and d=64.
This code was found by Heurico 1.16 in 0.473 seconds.