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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+146x^68+138x^70+107x^72+76x^74+29x^76+10x^78+4x^80+1x^132

The gray image is a code over GF(2) with n=284, k=9 and d=136.
This code was found by Heurico 1.16 in 0.181 seconds.