The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  X  X  X  2  0  0  X  X  2  1  1  1  X  1  2  0  2  2  1  2  1  X  1  1  0  0  1  2  2  1  X  X  1  X
 0  X  0  0  0  0  0  0  2  2  X X+2  X  0  0  2 X+2 X+2  X  X  X  X  0  X X+2  X  0  X X+2  2 X+2  2  2 X+2  X  0  0  X  2  2 X+2  2  X  X  2  X X+2  X X+2  0  0  X  0  2  0  2  2  2  X  X  X  X  2  0  0 X+2  0  0  2  0 X+2 X+2  X
 0  0  X  0  0  0  0  0  0  0  0  0  2 X+2 X+2 X+2  X X+2 X+2  X  2  2 X+2 X+2  0  0  X  X  X X+2 X+2 X+2  2  2 X+2  X  X  2  2  X  X  0  X  X  X  2  X X+2  X X+2 X+2  0  X  X  0  2  X  2  X  2  X  0  0  X  X  0  X  X  X  0  0  2 X+2
 0  0  0  X  0  0  2 X+2  X  X  X  X  2 X+2  X  2  2  0  2  2  2  2  2  X X+2  X  2  X X+2 X+2  X X+2  0  2  0  0  0 X+2  2  X X+2  0  0  0  X X+2 X+2  X  X  0 X+2 X+2 X+2  X  X  0  0 X+2 X+2 X+2 X+2  2 X+2  0  X  X X+2  2  2  X  0  0 X+2
 0  0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X  X  0  2  X  0 X+2 X+2  X X+2  X  2  2  X  2  2  0 X+2  2  0 X+2  X X+2  2  0  X  0  0  2  0 X+2  X  0  0 X+2 X+2  2  X  X  2 X+2  2  X  0 X+2  X  2  X X+2  0  X  X  2  X X+2  X X+2 X+2  2  X
 0  0  0  0  0  X  X  2 X+2  X X+2  2  X  X  0  X  0 X+2 X+2  0  X  2  2 X+2  2  X X+2 X+2  2  X  2  2 X+2  0  X X+2  0  0  X  X  0 X+2  2  0  0  2  2  0  2  X  0  X  X  0  0  0 X+2  X X+2  2  0 X+2  0  2  X X+2 X+2  2 X+2  X  0  X  2

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+98x^63+170x^64+172x^65+275x^66+338x^67+457x^68+526x^69+548x^70+688x^71+627x^72+608x^73+654x^74+656x^75+570x^76+404x^77+328x^78+270x^79+209x^80+152x^81+156x^82+98x^83+69x^84+54x^85+20x^86+24x^87+9x^88+4x^89+2x^90+4x^91+1x^98

The gray image is a code over GF(2) with n=292, k=13 and d=126.
This code was found by Heurico 1.16 in 20.2 seconds.