The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+438x^72+192x^73+168x^74+480x^75+804x^76+336x^77+96x^78+321x^80+96x^81+72x^82+288x^83+612x^84+144x^85+48x^86

The gray image is a linear code over GF(4) with n=104, k=6 and d=72.
This code was found by Heurico 1.16 in 0.016 seconds.