The generator matrix

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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+114x^61+244x^62+556x^63+638x^64+976x^65+916x^66+1362x^67+1194x^68+1648x^69+1341x^70+1624x^71+1141x^72+1416x^73+836x^74+880x^75+489x^76+384x^77+244x^78+168x^79+76x^80+62x^81+28x^82+14x^83+13x^84+6x^85+7x^86+4x^87+2x^89

The gray image is a code over GF(2) with n=280, k=14 and d=122.
This code was found by Heurico 1.16 in 14 seconds.