The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0
0 X 0 0 0 X X+2 X 2 2 X 0 2 X+2 X X 2 0 X 0 0 X X X+2 X 2 2 0 0 X+2 X X+2 X+2 X X X
0 0 X 0 X X X 0 2 0 X+2 X X 2 X+2 0 X 2 X+2 X+2 0 X X 2 2 0 0 X X+2 X X+2 0 2 X X+2 X+2
0 0 0 X X 0 X X+2 0 X 2 X 2 2 X X+2 0 0 X+2 2 X 2 X+2 X X+2 X+2 0 X X+2 0 X 2 0 X X+2 X
0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2
0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 0
generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+574x^32+896x^36+576x^40+1x^64
The gray image is a code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 89 seconds.