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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+20x^66+36x^67+61x^68+102x^69+88x^70+76x^71+63x^72+40x^73+20x^74+2x^76+2x^77+1x^124

The gray image is a code over GF(2) with n=280, k=9 and d=132.
This code was found by Heurico 1.16 in 0.225 seconds.