The generator matrix

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

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+395x^32+496x^36+124x^40+8x^48

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 14.2 seconds.