The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  1  X  2  0  1  X  2  1  1  0  1 X+2  1  1  0  0  1  1  0  1  1  1 X+2  2  1
 0  1  0  0  1 X+1  1 X+2  3 X+3  X  1  1  0 X+3  1  1  1 X+2  1 X+3 X+2 X+3  3  0  1 X+1  X  1  2  3  3  1  1 X+2
 0  0  1  1  1  0  1  3  1 X+2  X X+1  2  1  1  1 X+2  0 X+1 X+3 X+2  1  1  3  1  X X+3 X+1  1 X+3 X+2 X+2  3 X+1  2
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X  X X+2  X  X X+2  2  X  2 X+2  2 X+2  2  2  0 X+2  0  0  X X+2  2  X  2
 0  0  0  0  X  2  X X+2  2  X X+2  2 X+2 X+2 X+2 X+2  0  0  0  2  X  2  2  X  X  0  0 X+2  2  X X+2  0  0 X+2 X+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+170x^29+367x^30+494x^31+716x^32+874x^33+940x^34+1014x^35+1075x^36+920x^37+656x^38+452x^39+267x^40+146x^41+48x^42+22x^43+21x^44+2x^45+5x^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 1.16 in 33.5 seconds.