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^2*X+a^2  0 a^2*X+1 a^2*X+a^2  X  a  1 a^2*X+1 X+a a*X+a^2  1  X  1 X+a a*X+a^2  1  0  X a*X a^2*X+1 a*X+1 a*X+1
 0  0 a^2*X a*X  X  X  0 a^2*X a*X a^2*X a^2*X  X  0 a*X a*X a^2*X a*X  X  0  X a*X  X  0 a*X a^2*X  X

generates a code of length 26 over F4[X]/(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 -3.62e-008 seconds.