The generator matrix

 1  0  0  1  1  1  2  0  0  1  1  2  1  1  X  X  1  2  1  1  1  0  1  0  1  1  2  1  0  X  X  0 X+2  1  1  1  1 X+2  1  1  1  X  1  X  X  1  1  1 X+2  1  0 X+2 X+2  1  1 X+2 X+2  1  1  2 X+2 X+2  0  X  2  1  X  1 X+2  X
 0  1  0  0  1  1  1  X  1  2  3  1  2  3  0 X+2  1  1  2  0  3  1  1  1  0  3  1  2  X  2  X  2  0  X X+2  X X+2  2  X X+2 X+1  1 X+1  1  1  X X+1 X+3  1 X+1  2  1 X+2 X+1 X+3  1  1 X+2 X+3  X  1  X  0  1 X+2 X+3  1 X+3  1  1
 0  0  1  1  2  3  1  1  X  X X+2 X+3 X+1 X+3  1  1  X  1  3 X+2  1 X+2 X+1  2 X+3  0 X+3  2  1  1  1  1  1  0  0  X  X  1  1  1  0  2 X+2  X  X X+1  3 X+2  1  0  1  2  1 X+1 X+1 X+3 X+1 X+1  0  1  3  1  1  2  1  3  3 X+3  0  0
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  0  2  0  2  2  0  2  0  0  2  0  2  0  2  0  0  2  0  2  0  2  0  0  2  2  0  2  2  2  2  2  0  0  2  2  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+90x^66+124x^67+225x^68+132x^69+152x^70+40x^71+69x^72+24x^73+26x^74+28x^75+45x^76+36x^77+4x^78+8x^80+16x^82+2x^84+2x^88

The gray image is a code over GF(2) with n=280, k=10 and d=132.
This code was found by Heurico 1.11 in 0.172 seconds.