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

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+32x^64+62x^65+75x^66+78x^67+95x^68+134x^69+118x^70+122x^71+102x^72+62x^73+47x^74+28x^75+23x^76+10x^77+11x^78+10x^79+3x^80+4x^81+4x^82+2x^83+1x^126

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 0.284 seconds.