The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+74x^65+199x^66+490x^67+440x^68+660x^69+631x^70+782x^71+618x^72+812x^73+607x^74+686x^75+466x^76+538x^77+308x^78+306x^79+181x^80+168x^81+89x^82+60x^83+18x^84+18x^85+17x^86+8x^87+4x^88+2x^89+5x^90+4x^91

The gray image is a code over GF(2) with n=292, k=13 and d=130.
This code was found by Heurico 1.16 in 4.3 seconds.