The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+6x^34+32x^35+44x^36+32x^37+8x^38+1x^40+2x^42+2x^44

The gray image is a code over GF(2) with n=144, k=7 and d=68.
This code was found by Heurico 1.16 in 0.0126 seconds.