The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1  1  0  1  1  1  1  2  2  X  X  0  1  1  1  1  1  X X+2  0  1
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3 X+2  X X+1  1  X  X  1 X+3  1  1  1  1  1  0 X+2  3 X+2  3  1  1  0 X+3
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  2  0  2  0  2 X+2  X X+2 X+2  X X+2  0  0  0  2  2  X  X X+2  X  2  X  X
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  2  0  X X+2  0  2 X+2  X  0  2 X+2  X X+2 X+2  2  0 X+2  X X+2  2  2  0  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+93x^32+96x^33+188x^34+104x^35+133x^36+96x^37+130x^38+72x^39+52x^40+16x^41+24x^42+13x^44+2x^46+4x^48

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 0.0401 seconds.