The generator matrix

 1  0  0  1  1  1  X  1 X+2  1  1 X+2  1  2  1  2  2 X+2  1  1  1  X  1  1  1  0  0  1  X  2  1  1  1  1  1
 0  1  0  X  1 X+3  1 X+2  2  X X+1  1 X+1  1 X+3  1  X  1 X+2  3  0  1 X+2  3 X+2  2  1  3  1 X+2 X+3  2  2  0  0
 0  0  1  1 X+3 X+2  1 X+1  1  X  0  0 X+1  1  1  3  1 X+3 X+1  2 X+1  1  0  3 X+3  1  X  0 X+1  1 X+1  2 X+2 X+1  0
 0  0  0  2  0  0  0  2  0  0  2  2  2  0  0  2  2  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0  2  2  0
 0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  2  2  0  0  0  0  0  2  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  0  0  0  2  2  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  0  0  2  2  0  0  2  0  2  2  2  2  0  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+57x^28+132x^29+339x^30+566x^31+483x^32+964x^33+931x^34+1292x^35+856x^36+980x^37+586x^38+552x^39+250x^40+92x^41+58x^42+20x^43+15x^44+8x^45+3x^46+2x^47+2x^48+3x^50

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 1.27 seconds.