The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+43x^64+176x^65+280x^66+416x^67+331x^68+464x^69+348x^70+430x^71+257x^72+302x^73+215x^74+206x^75+127x^76+186x^77+103x^78+90x^79+63x^80+18x^81+13x^82+10x^83+10x^84+6x^85+1x^86

The gray image is a code over GF(2) with n=284, k=12 and d=128.
This code was found by Heurico 1.16 in 0.919 seconds.