The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+106x^67+133x^68+190x^69+170x^70+130x^71+36x^72+50x^73+32x^74+28x^75+35x^76+24x^77+32x^78+36x^79+1x^80+4x^82+4x^83+2x^84+8x^85+2x^86

The gray image is a code over GF(2) with n=284, k=10 and d=134.
This code was found by Heurico 1.11 in 0.18 seconds.