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.