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  1  1  1  1  1  1  1  1  2  2  2  1
 0  X  0  X  0  0  X X+2  2  2  X X+2 X+2 X+2  2  2  0  X  2  X  X  2  0  X X+2  X  0  0  0  0  X X+2  0  2  2  0
 0  0  X  X  0 X+2  X  2  0  X  X  0  2  X  2 X+2  0 X+2 X+2  2  2 X+2  0 X+2  0  0  0  2  X  X  X  X  2  2  0  0
 0  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  0
 0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  2  0  0  2  0  0  0  2  2  2  0  0  2  2  2  2  0  0  0  0
 0  0  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  2  0  2  2  2  0  0  0  2  2  2  0  0  2  2  0  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+91x^32+160x^33+67x^34+384x^35+128x^39+36x^40+96x^41+60x^42+1x^66

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 0.0567 seconds.