The generator matrix

 1  0  0  1  1  1  2  1  X  2  1  1  1  X  1  2  1  1  1  1  2 X+2  0  1  1  1  2  1  0  1  1  1 X+2  X  1  X
 0  1  0  0  1 X+1  1 X+2  1  0 X+1  1  2  1  X  1 X+1  3  X X+2  1  2  1  X  3  0  2  1  X X+3 X+3 X+3  1  1 X+3 X+2
 0  0  1  1  1  0 X+1  1 X+2  1  2 X+3 X+2  3  3  X X+1  0 X+2  0 X+2  1  1  1  X X+3  1  1  1 X+2 X+2  2  0  2 X+2  1
 0  0  0  X X+2  2  X  X  2  X X+2  0 X+2  2  0 X+2  0  X  X  0  2  2  X  0  0  X X+2  0  2 X+2 X+2  0  2  X  0  X
 0  0  0  0  2  0  2  2  2  2  2  0  2  0  0  0  2  0  0  2  0  2  0  2  2  2  0  0  2  2  0  0  2  0  2  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+194x^31+297x^32+520x^33+299x^34+616x^35+368x^36+574x^37+306x^38+428x^39+220x^40+174x^41+28x^42+40x^43+8x^44+10x^45+6x^46+2x^47+2x^48+2x^49+1x^50

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 96.3 seconds.