The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  X  1  X  1  0  0 X+2  1  1  1  2  1  0  1  1  1 X+2  X X+2  1  1  1  1  2  1
 0  1  0  0  3 X+1  1  2  0  1  1  X  1 X+3  1  1 X+2  3 X+1  1  1  2  1 X+1 X+2 X+3  X  1  2 X+3  0 X+1  1  1  X
 0  0  1  1  3  2  3  1  2  1  X  1  1  2  1  X  1 X+1  3  0 X+1 X+1 X+2  3  2  0  1  X  1 X+3  2 X+2 X+1 X+3 X+2
 0  0  0  X  X  0  X  X X+2  2 X+2  0  0  X X+2  0  2  2 X+2 X+2  0  X  X  2 X+2  2 X+2  0  2  0  2 X+2  X  X  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+218x^31+140x^32+450x^33+149x^34+338x^35+102x^36+288x^37+66x^38+150x^39+41x^40+74x^41+9x^42+14x^43+4x^44+4x^45

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 71.8 seconds.