The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+136x^37+711x^38+732x^39+1820x^40+1538x^41+3144x^42+2324x^43+4424x^44+2756x^45+4688x^46+2536x^47+3441x^48+1434x^49+1572x^50+644x^51+536x^52+146x^53+119x^54+36x^55+18x^56+4x^57+4x^58+2x^61+2x^62

The gray image is a code over GF(2) with n=180, k=15 and d=74.
This code was found by Heurico 1.13 in 9.98 seconds.