The generator matrix

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

generates a code of length 26 over F4[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+372x^63+324x^64+564x^65+1116x^66+2760x^67+2130x^68+3756x^69+3996x^70+7824x^71+6855x^72+11304x^73+12888x^74+17280x^75+15507x^76+25464x^77+22200x^78+24708x^79+18633x^80+26340x^81+18252x^82+17304x^83+9420x^84+6300x^85+2988x^86+3480x^87+300x^88+51x^92+12x^96+12x^100+3x^104

The gray image is a linear code over GF(4) with n=104, k=9 and d=63.
This code was found by Heurico 1.16 in 73 seconds.