The generator matrix

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

generates a code of length 26 over F4[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+51x^64+12x^66+96x^67+423x^68+144x^70+576x^71+963x^72+648x^74+1536x^75+1983x^76+1296x^78+2496x^79+2283x^80+972x^82+1440x^83+1245x^84+105x^88+93x^92+21x^96

The gray image is a linear code over GF(4) with n=104, k=7 and d=64.
This code was found by Heurico 1.16 in 0.465 seconds.