The generator matrix

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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+146x^65+208x^66+296x^67+225x^68+262x^69+149x^70+134x^71+131x^72+118x^73+81x^74+88x^75+49x^76+38x^77+36x^78+42x^79+9x^80+28x^81+5x^82+1x^86+1x^88

The gray image is a code over GF(2) with n=280, k=11 and d=130.
This code was found by Heurico 1.16 in 0.342 seconds.