The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+58x^29+200x^30+294x^31+331x^32+446x^33+547x^34+540x^35+416x^36+366x^37+363x^38+236x^39+140x^40+82x^41+41x^42+12x^43+8x^44+8x^45+1x^46+6x^47

The gray image is a code over GF(2) with n=140, k=12 and d=58.
This code was found by Heurico 1.16 in 0.396 seconds.