The generator matrix

 1  0  0  1  1  1  0  1  1  2  1  2  1  2  1 X+2  X  1  1  X  1  1 X+2  1  X  2  1  1  X  1  2  X  1  1  1  1  1  1  2  1  1  2  1  1  X  1  1  2  1  2  1  X X+2 X+2 X+2  0  1  1  1  1  X  0  1  2  X  1  1  2  0  0
 0  1  0  0  1  1  1  2  1  1  3  1  2  X X+3  1 X+2  X X+3  1 X+2 X+1  1 X+2  2  1  X X+3  1  1  1  0  X X+1  X  3 X+2  X  1 X+2  0  0  2 X+3  X  0  3  0  2  2 X+3  1  1  2  1  1  3  2  X  2 X+2  1  2  1 X+2 X+2 X+3  1  X X+2
 0  0  1 X+1 X+3  0 X+1  X  1  3 X+2  X  3  1  0  2  1  3 X+1 X+3  X X+2  1 X+3  1  2  0  1 X+2 X+1 X+2  1 X+2  0  2  1 X+3 X+2 X+3  3  1  1  X  X  1  1 X+2  1  2  1 X+2  0  1  1  1 X+3  1  2  X X+3  1  0 X+1 X+2  1  0  1 X+2  1  1
 0  0  0  2  0  0  0  2  2  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  2  2  2  0  0  0  0  2  0  2  0  0  0  2  0  0  2  2  0  2  2  2  0  2  2  0  0  0  0  2  2
 0  0  0  0  2  0  2  0  2  2  2  2  0  0  2  2  2  2  0  0  2  0  0  2  2  2  2  0  0  2  2  0  0  0  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  2  0  0  0  0  0  2  0  0  2  0  0  2  2  2  0  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  2  0  0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  2  2  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+258x^64+140x^65+546x^66+224x^67+634x^68+208x^69+542x^70+156x^71+404x^72+124x^73+288x^74+104x^75+191x^76+40x^77+110x^78+28x^79+64x^80+18x^82+15x^84+1x^88

The gray image is a code over GF(2) with n=280, k=12 and d=128.
This code was found by Heurico 1.16 in 4.58 seconds.