The generator matrix

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

generates a code of length 26 over F4[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+504x^66+576x^67+456x^68+756x^69+1764x^70+2700x^71+1107x^72+2484x^73+3660x^74+5244x^75+2304x^76+4284x^77+6756x^78+8628x^79+3354x^80+5148x^81+5868x^82+5172x^83+1443x^84+1152x^85+1416x^86+720x^87+15x^88+18x^92+3x^96+3x^100

The gray image is a linear code over GF(4) with n=104, k=8 and d=66.
This code was found by Heurico 1.16 in 5.22 seconds.