The generator matrix

 1  0  1  1  1 X+2  1  1  0 X+2  1  1  1  2  1  1  X  1  1  1  2  1  X  1  1  1  X  X  1  1  X  1  1  1  1  X  1  2  1 X+2  1  1  1  X  1  1  1  1  1  0  1  1  2 X+2  1  1  1  2  2  1  1  0  0  1  X  1  0  1  2  1  1  2  1
 0  1  1  0  1  1  X X+3  1  1 X+3 X+2  1  1  0  X  1  3  2 X+1  1  X  1  1 X+2 X+1  1  1 X+3 X+2  1  0  X  1  3  1 X+2  1  0  1 X+1 X+2 X+1  1  3 X+1  3  2  3  1  2 X+3  1  1  1  2  1  1  1 X+1  1  X  0  2  X X+3  1  3  X X+3  0  1  2
 0  0  X  0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  2  0  2  0  0 X+2  X  X  X X+2  X X+2  X X+2 X+2 X+2 X+2 X+2 X+2  X X+2  X X+2  2  X X+2 X+2 X+2  2  X  0 X+2 X+2  2  2 X+2  0 X+2  X  X  2 X+2 X+2 X+2  X  2  0 X+2 X+2  X X+2  2  0  2  0
 0  0  0  X  0  0  X  2  X X+2  X  2 X+2  X  X  2  0  X  0  0  2 X+2  X X+2  X  2  2  X  2  X X+2 X+2  0  0  X  X  0  0  X  0 X+2  2  X  X  2  2  2  X X+2  0  0  0  0  2  0 X+2 X+2 X+2  0  0  X X+2  2  2  X  X  0  0  X  2  2  X  X
 0  0  0  0  X  0  0  X  X X+2  2  2  2  2 X+2 X+2  X X+2  X  2  X  X  0  X  0  X  0  0  0 X+2 X+2  2  0 X+2  2  2 X+2  X  X X+2 X+2  X X+2 X+2  X  X X+2  2 X+2 X+2  X  0 X+2  2  X  X  X X+2  2  0  0  X  0  0  X X+2  2  0 X+2  0  X  0  2
 0  0  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  2  0  2  2  2  0  0  2  0  0  0  2  2  2  0  0  2  0  2  0  2  2  0  2  0  0  2  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+47x^64+166x^65+208x^66+496x^67+324x^68+660x^69+473x^70+808x^71+485x^72+934x^73+587x^74+866x^75+435x^76+610x^77+244x^78+338x^79+146x^80+140x^81+59x^82+38x^83+29x^84+34x^85+22x^86+14x^87+4x^88+16x^89+6x^90+1x^94+1x^96

The gray image is a code over GF(2) with n=292, k=13 and d=128.
This code was found by Heurico 1.16 in 5.15 seconds.