The generator matrix

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

generates a code of length 25 over F4[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+315x^60+396x^61+324x^62+1344x^63+2187x^64+2364x^65+1908x^66+5916x^67+7638x^68+8760x^69+4824x^70+16128x^71+20568x^72+19752x^73+10008x^74+28632x^75+32895x^76+24492x^77+10020x^78+23712x^79+18177x^80+11484x^81+3636x^82+4140x^83+2088x^84+336x^85+66x^88+24x^92+9x^96

The gray image is a linear code over GF(4) with n=100, k=9 and d=60.
This code was found by Heurico 1.16 in 69.9 seconds.