The generator matrix

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

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+126x^65+79x^66+282x^67+76x^68+284x^69+142x^70+222x^71+46x^72+262x^73+96x^74+222x^75+32x^76+86x^77+34x^78+30x^79+4x^81+1x^82+8x^83+3x^84+6x^85+4x^87+1x^96+1x^100

The gray image is a code over GF(2) with n=284, k=11 and d=130.
This code was found by Heurico 1.16 in 2.06 seconds.