The generator matrix

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

generates a code of length 26 over F4[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+105x^60+309x^64+456x^68+192x^69+504x^72+1728x^73+591x^76+5184x^77+702x^80+5184x^81+591x^84+492x^88+264x^92+72x^96+9x^100

The gray image is a linear code over GF(4) with n=104, k=7 and d=60.
This code was found by Heurico 1.16 in 0.874 seconds.