The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+132x^28+8x^29+282x^30+80x^31+539x^32+248x^33+594x^34+352x^35+655x^36+248x^37+438x^38+80x^39+286x^40+8x^41+86x^42+44x^44+8x^46+6x^48+1x^52

The gray image is a code over GF(2) with n=140, k=12 and d=56.
This code was found by Heurico 1.16 in 0.552 seconds.