The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  1  X X+2  1  1  X  1  0  1  X  1  1  2  1  X  X  1  2  1 X+2 X+2 X+2  1  1
 0  1  0  0  1  1  1  X  2  3  1  X X+1  1  1  X X+2  X  3  1 X+1  0  2 X+3  1 X+2  1  1 X+3  1 X+3  1  X  1  1  0
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+1  3  0  1  1  3  0  2  1  1 X+2 X+3  X  0  2  3  X  1  0  1 X+2  X  0
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  2  2  0  0  2  0  2  2  0  0  0  2  2  2  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+47x^32+128x^33+215x^34+124x^35+149x^36+98x^37+83x^38+54x^39+30x^40+30x^41+21x^42+14x^43+29x^44+1x^46

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.11 in 0.0221 seconds.