The generator matrix

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

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+164x^67+90x^68+248x^69+56x^70+128x^71+57x^72+48x^73+104x^75+35x^76+44x^77+8x^78+8x^79+5x^80+8x^81+4x^83+2x^84+4x^85+8x^87+1x^88+1x^92

The gray image is a code over GF(2) with n=284, k=10 and d=134.
This code was found by Heurico 1.16 in 48.4 seconds.