The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  1  2  1  1  1  2  1 X+2  0  1  1  X  1  2  1  0  0  2  2
 0  1  1  0 X+3  1  X X+1  1 X+2  1  3 X+3  2  1 X+1 X+2  1  3  X  1  1  X  1  1 X+1 X+2  X  0  1 X+1  1  1  0  X
 0  0  X  0 X+2  0  0  X  2  0  2  X  0  X X+2  0  X  X  2 X+2  2  X  2 X+2  2 X+2  0  0  2  0 X+2  X  0  2  0
 0  0  0  X  0  0  X  X X+2  2  X  X  X  2  X  0 X+2  2  2  2  X  0  X X+2 X+2  0  2 X+2  0  0 X+2 X+2  2  X  X
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  0  2  0  2  2  2  2  0  2  2  2  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  2  2  0  2  2  2  2  0  0  2  2  0  0  2  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  0  0  2  2  0  2  0  2  2  2  2  0  0  0  2

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+127x^28+88x^29+411x^30+448x^31+658x^32+896x^33+841x^34+1192x^35+931x^36+984x^37+647x^38+400x^39+287x^40+80x^41+139x^42+8x^43+42x^44+10x^46+2x^48

The gray image is a code over GF(2) with n=140, k=13 and d=56.
This code was found by Heurico 1.16 in 1.83 seconds.