The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  1  1  1  1  1  1  X  1  X  1  X  X  X  X  1  X  X  X  X  X  X  X  X  X
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  2  0  0  0  2  0  2
 0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  0  2  0  0  2  0  2  2  2  0  0  2  0  2  0
 0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  2  0  2
 0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  0  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  0  0  0  2

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+30x^69+6x^70+64x^71+9x^72+9x^74+6x^76+1x^82+2x^101

The gray image is a code over GF(2) with n=284, k=7 and d=138.
This code was found by Heurico 1.16 in 1.34 seconds.