The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  2  1  1  2  1  X  1  1  X X+2  1  1  0  1  2  2  1  2  2  X  1  0  1  1  1  1  1  1  X  1 X+2  1  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1  1 X+2  3  1 X+1  1  3 X+3  1 X+2 X+2  2  1  X  1  X X+2  1  1  X X+1  1 X+3  2  3  3  1  2  1 X+2  0  X  2  0
 0  0  1  1 X+3 X+2  1 X+1 X+2  1  1  1  0  0  X X+1 X+2  1  2  1  1 X+2  1 X+1  1  0  1  2  3 X+2  1  3  X X+2  0  X  2 X+3  X  3 X+1  1  X  1  0
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  0  0  0  0  2  0  0  2  0  0  2  2  2  2  0  2  2  2  0  2  2  0  0  2  0  0  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  2  2  2  0  0  2  0  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  2  0  0  2  0  0  0  0  0  2  2  0  2  2  0  2  0  0  0  2  2  2  2  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  2  0  0  2  0  2  0  0  0  2  0  2  0  0  0  2  0  2  2  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+74x^38+322x^39+213x^40+818x^41+342x^42+1304x^43+428x^44+1350x^45+416x^46+1248x^47+291x^48+734x^49+152x^50+304x^51+84x^52+42x^53+38x^54+22x^55+7x^56+2x^58

The gray image is a code over GF(2) with n=180, k=13 and d=76.
This code was found by Heurico 1.16 in 1.92 seconds.