The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 X X X 2 X 2 2 2 1 1 2 X 0 1 1
0 X 0 X+2 0 X+2 0 X 2 X+2 2 X 2 X+2 2 X X+2 X X+2 X 0 2 X X X X 0 0 0 2 2 2 2 0 X+2
0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0
0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0
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+42x^33+18x^34+14x^35+6x^36+38x^37+4x^38+2x^39+1x^40+2x^50
The gray image is a code over GF(2) with n=140, k=7 and d=66.
This code was found by Heurico 1.16 in 0.0169 seconds.