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

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+191x^32+64x^33+192x^35+162x^36+192x^37+64x^39+120x^40+37x^44+1x^60

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 5.23 seconds.