The generator matrix

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

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+82x^29+195x^30+238x^31+376x^32+432x^33+470x^34+600x^35+477x^36+400x^37+344x^38+168x^39+123x^40+104x^41+42x^42+16x^43+15x^44+6x^45+5x^46+2x^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 15.4 seconds.