The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+58x^33+34x^34+94x^35+20x^36+22x^37+6x^38+18x^39+1x^40+2x^48

The gray image is a code over GF(2) with n=140, k=8 and d=66.
This code was found by Heurico 1.16 in 0.0141 seconds.