The generator matrix

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

generates a code of length 26 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+84x^73+216x^74+33x^76+180x^77+144x^78+18x^80+60x^81+216x^82+3x^84+60x^85+9x^88

The gray image is a linear code over GF(4) with n=104, k=5 and d=73.
This code was found by Heurico 1.16 in -1.01e-007 seconds.