The generator matrix

 1  0  1  1  1  0  1 X+2  1  1 X+2  1  1  2  1  1  1  2  X  1  X  1  1  1  X  1  1  X  1  1  1  1  1  0  1  X  1  1  1  0  1  1  1  2  1  1 X+2  1  2  0  1  1  X  X  1  1  1  1  1  1  1  1  1  1  X  2  1  X  1  1
 0  1  1  0 X+3  1  X  1 X+3  X  1  1  2  1 X+1  0 X+3  1  1 X+2  1  3 X+3  X  1  X  1  1 X+1 X+2 X+1  2  0  1  3  1  2  2  1  1  X X+1  3  1 X+2 X+1  1  X  2  1  0  1 X+2 X+2  X  2  2 X+3 X+1  2  0  1 X+3  0  1  1 X+2  1 X+2  0
 0  0  X  0 X+2  X  0  X  0  X  2  0  X  0  2 X+2  X  X X+2  2  0 X+2  2  X  0  2  X  2  0 X+2  X X+2  2  2  0  X X+2  2 X+2  2  2  2 X+2  X  X  2 X+2  0  X  X  0 X+2  X X+2 X+2 X+2  2 X+2 X+2  2  2 X+2 X+2  X  0 X+2  2  0  0  0
 0  0  0  X  0  X  X  X X+2  0  2 X+2  2  X  2  X X+2  2  2  0 X+2 X+2 X+2 X+2  2  X  X  X  0  X  0  0  2 X+2  0  2  0  0  2  2 X+2  X X+2  0  X  0 X+2  2  X X+2  2  0 X+2  0  0  X  2  2  2 X+2 X+2  X X+2  0  0  X  0  X  X  0
 0  0  0  0  2  2  2  0  2  2  2  0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  0  0  2  2  2  0  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  0  0  0  2  2  2  0  2  2  0  0  2  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 64.

Homogenous weight enumerator: w(x)=1x^0+85x^64+140x^65+231x^66+124x^67+273x^68+144x^69+229x^70+108x^71+194x^72+132x^73+135x^74+76x^75+61x^76+32x^77+33x^78+12x^79+15x^80+10x^82+5x^84+2x^86+4x^88+1x^92+1x^96

The gray image is a code over GF(2) with n=280, k=11 and d=128.
This code was found by Heurico 1.16 in 0.429 seconds.