The generator matrix

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

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+196x^65+278x^66+432x^67+449x^68+416x^69+350x^70+330x^71+287x^72+244x^73+219x^74+248x^75+155x^76+188x^77+124x^78+70x^79+40x^80+36x^81+13x^82+8x^83+8x^85+4x^88

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 0.785 seconds.