The generator matrix

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

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+61x^66+204x^67+117x^68+212x^69+121x^70+84x^71+16x^72+48x^73+24x^74+28x^75+20x^76+60x^77+4x^79+4x^80+16x^82+1x^84+1x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=280, k=10 and d=132.
This code was found by Heurico 1.16 in 0.205 seconds.