The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+164x^65+289x^66+476x^67+482x^68+382x^69+309x^70+362x^71+230x^72+244x^73+266x^74+274x^75+170x^76+138x^77+113x^78+86x^79+45x^80+32x^81+3x^82+14x^83+8x^84+4x^86+4x^87

The gray image is a code over GF(2) with n=284, k=12 and d=130.
This code was found by Heurico 1.11 in 0.419 seconds.