The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  0  1  1  0  1  1 X+2 X+2  1  1  1 X+2  1  0  1  1  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  1  0 X+1  1  3 X+2  1  1  0 X+2 X+2  1  3  X  0  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  2  0  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  2  0  0  2  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  2  2  2  0  2  2  2  0  2  0  0
 0  0  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  2  2  0  0  2  0  0  2  0  0  0  2  2  0  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  0  2  2  2  0  2  0  0  0  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+94x^28+20x^29+138x^30+140x^31+444x^32+372x^33+626x^34+492x^35+630x^36+348x^37+350x^38+132x^39+200x^40+28x^41+38x^42+4x^43+28x^44+11x^48

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 0.402 seconds.