The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+170x^31+239x^32+384x^33+156x^34+314x^35+222x^36+196x^37+58x^38+142x^39+76x^40+56x^41+8x^42+14x^43+6x^44+4x^45+2x^46

The gray image is a code over GF(2) with n=140, k=11 and d=62.
This code was found by Heurico 1.16 in 98.3 seconds.