The generator matrix

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

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+228x^65+249x^66+466x^67+271x^68+518x^69+356x^70+412x^71+242x^72+312x^73+159x^74+276x^75+124x^76+202x^77+71x^78+108x^79+33x^80+16x^81+24x^82+12x^83+1x^84+4x^85+5x^86+4x^87+2x^91

The gray image is a code over GF(2) with n=284, k=12 and d=130.
This code was found by Heurico 1.16 in 17.6 seconds.