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

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+252x^38+400x^39+902x^40+1108x^41+1466x^42+1520x^43+1756x^44+1692x^45+1786x^46+1528x^47+1434x^48+972x^49+784x^50+384x^51+243x^52+68x^53+62x^54+8x^55+15x^56+2x^58+1x^60

The gray image is a code over GF(2) with n=180, k=14 and d=76.
This code was found by Heurico 1.13 in 2.79 seconds.