The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+58x^63+236x^64+334x^65+609x^66+534x^67+764x^68+658x^69+800x^70+660x^71+780x^72+472x^73+611x^74+426x^75+432x^76+264x^77+242x^78+88x^79+77x^80+58x^81+33x^82+24x^83+12x^84+6x^85+6x^86+2x^87+2x^88+3x^90

The gray image is a code over GF(2) with n=284, k=13 and d=126.
This code was found by Heurico 1.16 in 3.44 seconds.