The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1 X+2  0  X  0 X+2  1  1  1  1  0  2  2  1 X+2  1  X  0  2 X+2  1  1  1  1
 0  1  0  0  0  1  2  3  1  2 X+1 X+3  1  X  1  1 X+2  2  0 X+3 X+2  0  1  X X+1  1 X+2  1  1  1  0 X+2 X+2 X+3  0
 0  0  1  0  0  1  3  2  3 X+1  1  0  3  1 X+2  1  1  X X+3  1  1  X  X  1  2  1  2  2  X X+1  1  1  3  1 X+2
 0  0  0  1 X+1  2 X+3 X+1 X+1  X  1  2 X+2  1  1  1 X+3  0  3 X+2  2  1 X+2  2  1  X  X  2 X+3  0  2  3 X+3 X+3 X+2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  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+110x^29+379x^30+550x^31+827x^32+742x^33+987x^34+1054x^35+1016x^36+796x^37+755x^38+428x^39+308x^40+134x^41+69x^42+14x^43+8x^44+10x^45+2x^46+2x^47

The gray image is a code over GF(2) with n=140, k=13 and d=58.
This code was found by Heurico 1.13 in 0.534 seconds.