The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+247x^32+360x^34+218x^36+96x^38+52x^40+40x^42+10x^44

The gray image is a code over GF(2) with n=140, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0426 seconds.