The generator matrix

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

generates a code of length 34 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+273x^32+224x^36+8x^40+6x^48

The gray image is a code over GF(2) with n=136, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0205 seconds.