The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1 X+2  X  1  1  1  1  1  2  1 X+2  1  1  1  1  1  1  1  1  1  1  X
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  2 X+3 X+3  1  X  1  X  1  0  0  0  0  X X+2  0  2 X+2 X+2  2
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  0  X  0  2  X  2  2  X  0  2 X+2  X X+2  X  2  0  0 X+2  X
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  2  0  0  2  2  0  0  0  0  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+95x^32+64x^33+116x^34+78x^36+64x^37+72x^38+16x^40+4x^42+2x^52

The gray image is a code over GF(2) with n=140, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0219 seconds.