The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  X  1  1  0  1 X+2  X  1  1 X+2  1  1  0  X  2  1  1  1  1  1  1  1  0  1
 0  1  0  0  0  1  1  1  1 X+2  X X+2 X+3  3  1  0  1  2  3 X+1  1 X+3 X+2  1  X  1  X X+2  2  1  2  2  X  0  X
 0  0  1  0  1  1  0  3 X+1  2  3  1 X+1  0 X+2  X  1  1  1  0 X+1 X+1  X  2  0 X+2  2  1  1 X+3  1 X+3  0  1  X
 0  0  0  1  1  0  1  1  2 X+1 X+2  3  1  0  3 X+3  X  1 X+2  X  1 X+3  0 X+1  1  2  3  2 X+3  2 X+1  1 X+2  1  0
 0  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  0  0  2  2  2  2  0  0  0  0  0  2  2  2  2
 0  0  0  0  0  2  2  2  2  0  0  0  2  0  0  2  0  2  2  2  0  0  0  0  0  2  2  0  2  0  0  2  2  2  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+74x^28+306x^29+732x^30+940x^31+1507x^32+1554x^33+2013x^34+2040x^35+2138x^36+1674x^37+1499x^38+876x^39+592x^40+238x^41+99x^42+48x^43+40x^44+4x^45+9x^46

The gray image is a code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.16 in 4.54 seconds.