The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+234x^38+432x^39+890x^40+1092x^41+1512x^42+1432x^43+1815x^44+1736x^45+1724x^46+1572x^47+1397x^48+964x^49+788x^50+400x^51+261x^52+48x^53+58x^54+4x^55+19x^56+4x^58+1x^64

The gray image is a code over GF(2) with n=180, k=14 and d=76.
This code was found by Heurico 1.16 in 7.96 seconds.