The generator matrix

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

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+68x^63+282x^64+374x^65+536x^66+624x^67+612x^68+748x^69+632x^70+646x^71+750x^72+660x^73+540x^74+514x^75+403x^76+254x^77+217x^78+130x^79+83x^80+58x^81+18x^82+14x^83+7x^84+2x^85+5x^86+4x^87+6x^88+4x^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 4 seconds.