The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+88x^69+32x^70+28x^71+14x^72+68x^73+10x^74+4x^75+4x^77+4x^78+1x^80+2x^82

The gray image is a code over GF(2) with n=284, k=8 and d=138.
This code was found by Heurico 1.16 in 0.25 seconds.