The generator matrix

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

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+233x^38+532x^39+851x^40+1024x^41+1331x^42+1680x^43+1724x^44+1768x^45+1649x^46+1640x^47+1397x^48+1040x^49+727x^50+432x^51+200x^52+72x^53+54x^54+4x^55+19x^56+6x^58

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 6.95 seconds.