The generator matrix

 1  0  0  0  1  1  1  1  2  1 X+2  1  X X+2  1  1  1  2  X  1  0  1 X+2  0  1  0  1  1  1 X+2  2  X X+2  1  0  1  1  1  1 X+2  1  1  2  1  1  1  1  1  2 X+2  X  1  1  1  0 X+2  0  1  2 X+2  0  1  1  1  1  X  1  1  0  1 X+2  1  1
 0  1  0  0  0  2  1  3  1  2  0  3  1  1 X+3  X  0  1  2  3  1  X  X  1 X+1  1 X+1  2  1  2  2  1  1  3  1  3  X  2  1  1 X+2 X+2  0 X+3 X+2 X+3 X+1  X X+2  1  2  1 X+3  3  1  1  1 X+2  0  X  1  0  3  3  2  1 X+3  1 X+2  2  1  0  0
 0  0  1  0  0  3  1  2  3  1  1 X+1  3  X  0  3 X+2  3  1  X X+1 X+2  0  0  1  X  3  3  2  1  1  3 X+2 X+1  3  X  1  X X+3  0  X  1 X+2  2  1  2 X+3 X+3  1  1 X+2  1 X+1  0  X  2  0  0  1  1  3  0  1  2 X+2  1  2  0  1  X  2 X+2  0
 0  0  0  1  1  1  2  3  3  0 X+1 X+1  2  1 X+2  0  1 X+1  2 X+2  X  X  1 X+2  3 X+3  0 X+1 X+3  3  X X+2 X+2 X+2  2 X+3  0  0 X+1  1  3  3  1  X  1  2 X+3  3  1 X+1  1  3  0  0  0  3  1  3 X+3  1 X+3 X+1  3  X  3 X+2 X+1 X+1 X+2  3  3  X  0
 0  0  0  0  X  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  X X+2 X+2 X+2  X  X X+2  X X+2  X X+2 X+2 X+2  X  0 X+2 X+2 X+2  2  X X+2  0  X  X  X  X  2 X+2  2  0  X X+2 X+2  0 X+2  0 X+2  X  0 X+2  2  2  2 X+2 X+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+107x^64+298x^65+546x^66+740x^67+968x^68+1094x^69+1261x^70+1330x^71+1374x^72+1464x^73+1239x^74+1200x^75+1065x^76+1084x^77+908x^78+566x^79+452x^80+278x^81+183x^82+104x^83+57x^84+14x^85+19x^86+12x^87+8x^88+8x^89+2x^90+2x^94

The gray image is a code over GF(2) with n=292, k=14 and d=128.
This code was found by Heurico 1.16 in 13.1 seconds.