The generator matrix

 1  0  0  0  0  1  1  1  2  1  1 X+2  1  1  X  X X+2  X  0 X+2  2 X+2  1  1  1  1  1  1  2  1  1  2  2  2  2  0 X+2  1  X  X  1  1  1  1  2  1  1  1 X+2 X+2  1 X+2  X  1  2  1  X  2 X+2  X  1  X  1  1  1  1 X+2  1  2  1  1  1  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  2  2 X+2  1  1  1  1  1  1  1 X+3  3 X+1  1 X+3  2  1 X+1  1 X+2  0  1  1  X  X  1  X X+3 X+3  X  3  1 X+3  X  X  0  1  3  0 X+2  3 X+2  X  1  1  1  0 X+1  1 X+1 X+1  X X+2 X+2  1  1  3 X+2 X+1  0
 0  0  1  0  0  0  1  1  1  X  1  1  0  3  2  1  2 X+1 X+1  1  2  1 X+2  1  X  2  3  X  1 X+3  3  X  1  1  X  0 X+2  1  0  0 X+3  3  0  X  0 X+1  X  X  1 X+1 X+3  1  1 X+2  1  1  X  3  3  1  X  0 X+1  0 X+3  2  X X+1  1 X+2 X+2  3  0
 0  0  0  1  0  1  1  0  3  0  2 X+2 X+1  3  1  1  1  2  1 X+2 X+3 X+1 X+1 X+1 X+2  2  2  3  X  2  1 X+2 X+2  3 X+1  X  2  1  X  1  X  1  X  X  1  3  3 X+2  3  3  0  1 X+3  0  2  2 X+1 X+3  3 X+3 X+1  X  2  0 X+2 X+2  1  0  3 X+3 X+3  1  0
 0  0  0  0  1  1  2  3  1 X+1  X  3 X+2 X+3 X+3  0 X+3  1  X X+2 X+2  1  2  1 X+1  X  0  3 X+3 X+3  2 X+3 X+2 X+3  0  0  1 X+1 X+1  2  3  3  1  1  1  2  0 X+2  3  0  X  X  X  0  1  0  0 X+3  1 X+1 X+1 X+2  X X+1 X+1  X X+2 X+1 X+1 X+3 X+3  X  0
 0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  2  0  0  0  2  0  2  2  2  2  0  0  0  2  0  2  0  2  2  2  0  0  2  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  0  2  2  2  2  0  0  2  2  2  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 62.

Homogenous weight enumerator: w(x)=1x^0+76x^62+444x^63+786x^64+1420x^65+1859x^66+2604x^67+3344x^68+3838x^69+4534x^70+5054x^71+5730x^72+5726x^73+5943x^74+5478x^75+4753x^76+4108x^77+3093x^78+2438x^79+1636x^80+1092x^81+710x^82+394x^83+239x^84+126x^85+37x^86+32x^87+19x^88+10x^89+4x^90+4x^91+4x^92

The gray image is a code over GF(2) with n=292, k=16 and d=124.
This code was found by Heurico 1.13 in 69 seconds.