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  2  1  1  1  1  1  2  1  1  1  1  1  X  X
 0  X  0  X  0  0  X X+2  2  2  X X+2  0  2 X+2 X+2  0  2  X X+2  X  0  2 X+2  0  0  X  X  2  0  X  X  0  2  X  0  2  X  2  X  0 X+2  2 X+2  X X+2  0 X+2  X  X  0  X  0  X X+2 X+2  2  0  2  0  2 X+2  0  2  2 X+2 X+2  X  2  0
 0  0  X  X  0 X+2  X  2  0  X  X  0  2  X X+2  2  0  X X+2  0  0  2 X+2  X  0 X+2  X  2  0 X+2  X  2  0  X  X X+2  0 X+2 X+2  0  X  0  0  X  2 X+2  2  2  0 X+2  0 X+2  2  2  0  2  2 X+2 X+2  X  2  0  2  X  2 X+2  X  X  X  0
 0  0  0  2  0  0  2  0  0  2  0  2  2  2  0  2  0  0  0  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  2  0  0  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  0  2  0  2  0  0  2  0  2  0  0  2  0  2  2  0  0  0  2  0  2  2  0  2  2  2  0  0  2  0  0  0  0  0  0  2  2  2  0  2  0  0  2  2  2  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  0  2  2  2  0  2  0  2  0  2  0  0  2  2  2  2  0  0  2  0  0  2  0  2  0  0  2  2  0  2  0  0  2  2  2  0  2  2  0  2  0  2  0  0  2  2  2  0  0  0  0  0  2  2  0  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+57x^64+102x^66+64x^67+101x^68+128x^69+182x^70+64x^71+174x^72+70x^74+42x^76+26x^78+8x^80+4x^82+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 0.29 seconds.