The generator matrix

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

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+57x^64+358x^65+513x^66+756x^67+872x^68+1240x^69+1172x^70+1280x^71+1375x^72+1474x^73+1199x^74+1386x^75+1125x^76+1162x^77+717x^78+632x^79+389x^80+280x^81+191x^82+102x^83+49x^84+24x^85+15x^86+4x^87+2x^88+4x^89+2x^92+2x^93+1x^98

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 12.8 seconds.