The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+72x^73+36x^74+48x^75+9x^76+72x^77+12x^78+3x^84+3x^88

The gray image is a linear code over GF(4) with n=100, k=4 and d=73.
This code was found by Heurico 1.16 in 0.078 seconds.