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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+15x^64+32x^65+112x^66+40x^67+239x^68+32x^69+272x^70+16x^71+128x^72+16x^73+32x^75+32x^77+16x^79+16x^81+24x^83+1x^132

The gray image is a code over GF(2) with n=280, k=10 and d=128.
This code was found by Heurico 1.16 in 0.302 seconds.