The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  1  1  0  1  1 X+2  2  1  1  X  1  1  1  1  0  1  1 X+2  1  1 X+2  1  1  0  2  1  1  1  X  1  X  X  X  X  X  0  0  2  2  0  2  1  X  X  1  1  X  1  1  0  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3 X+1  0  1 X+2  3  1  2 X+3  1  X  3  1  1  0 X+1  1 X+2  3  0 X+1  1 X+2  3  1  0 X+1  1 X+2  3  1  1  2 X+3  1  1 X+2  0  2 X+2  X  X  X  X  1  X  X  1 X+2  0  X  1  0  X  X X+2  2  2 X+1
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  0  2  2  2  0  2  0  2  2  0  2  0  0  0  2  2  0  0
 0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  2  2  0  0  0  0  2  0  2  0  2  2  2  0  0  0  0  0  2  2  2  0  0  2  0  0  2  2  2  0  2  0  2  2  0  0  0  0  2  2  2  0  2  2  2  2  0  2  0  0  0
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  2  0  2  0  2  2  0  0  0  2  0  0  0  2  2  2  2  0  2  0  0  0  2  0  2  0  0  0  2  2  2  0  0  0  2  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  2  0  0  0  2  0  0  0  2  2  0  0  2  2  2  0  2  0  2  2  0  2  0  2  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  0  0  0  0  2  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+132x^65+72x^66+144x^67+42x^68+128x^69+56x^70+132x^71+10x^72+100x^73+51x^74+88x^75+10x^76+24x^77+12x^78+20x^79+1x^80+1x^122

The gray image is a code over GF(2) with n=280, k=10 and d=130.
This code was found by Heurico 1.16 in 54.4 seconds.