The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  X  1 X+2  2  1  1  1  X  1  0  1  0  0  2  1  1  1  1 X+2  1 X+2  0  1 X+2 X+2  1  1 X+2  1  1  X  0  1  1 X+2  1  1  0  1  2  1  1  1  1 X+2 X+2  1 X+2 X+2  1  1  1  1  1  1  2  X  1 X+2
 0  1  0  0  1 X+1  1  0 X+2  2  3  1  1  1  2 X+3 X+3  X  1  X  1 X+2  1  X  1  0  0  3  3  1  X  1 X+2  0  1  2 X+1  2  1  X X+3  1  1  2  2  X X+1 X+1  1  3  1  1  3  3  0  1  X X+2  1  1  0  X  X  X  0 X+2  1  0  0  X
 0  0  1  1  1  2  3  1  3  X X+2 X+3 X+1  X  1  X  3 X+3  0  X X+1  0 X+2  1  1  1 X+1 X+1  2  3  X X+2  1 X+1  1  1  0  0 X+1  1 X+3  X X+3  3 X+2  1 X+2  1  X X+3  3  3 X+2  X X+1  0  1  0  0 X+2  X  1  2  3 X+2 X+3 X+3  1  X  1
 0  0  0  X X+2  0 X+2 X+2 X+2  0  0 X+2 X+2  0  X  2 X+2  X  0  2  X  2  0  X  X X+2 X+2  0  X  2  X X+2  0  2  2  0 X+2 X+2  2  0  2 X+2  2  0  X  2 X+2  X X+2  0  2  X  X  0  0 X+2  X  0  2  0 X+2  X  X  2  2  X  X  0 X+2  X
 0  0  0  0  2  0  2  2  2  2  2  0  0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  0  2  0  2  2  2  2  2  2  2  2  2  0  2  0  0  0  0  0  0  0  2  2  0  2  0  2  0  0  0  2  2  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+330x^64+650x^66+982x^68+655x^70+557x^72+413x^74+268x^76+145x^78+57x^80+25x^82+8x^84+3x^88+2x^92

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 13.8 seconds.