The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+158x^31+299x^32+532x^33+428x^34+492x^35+436x^36+542x^37+342x^38+334x^39+188x^40+200x^41+72x^42+40x^43+20x^44+6x^45+6x^46

The gray image is a code over GF(2) with n=144, k=12 and d=62.
This code was found by Heurico 1.16 in 0.312 seconds.