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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+39x^62+60x^63+78x^64+114x^65+122x^66+174x^67+199x^68+192x^69+220x^70+178x^71+144x^72+152x^73+88x^74+74x^75+68x^76+40x^77+27x^78+18x^79+17x^80+14x^81+13x^82+8x^83+5x^84+2x^86+1x^114

The gray image is a code over GF(2) with n=280, k=11 and d=124.
This code was found by Heurico 1.16 in 0.547 seconds.