The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  2  X  1  X X+2  2  1  2  1  1  1 X+2 X+2  0  0  0  1  X  1  1  0  1 X+2  1 X+2  1  1  0  X  1  1  1  1  1
 0  1  0  0  0  1  1  1  2 X+2  3  1  1 X+3  X  1  1 X+2  1 X+2  3 X+3  X  1  1  1  X  X X+2 X+1  0  1  0  1 X+2  1  2 X+2 X+2  1  0  0  2  2  0
 0  0  1  0  1  1  0  3  2  3 X+1  1  X  0  1  3  X  2 X+3 X+3 X+3  X  1  X  0 X+3  X X+1 X+2  2  1  2 X+1  3  1  0 X+2  X  1  0 X+3  3  1 X+2  0
 0  0  0  1  1  2  3  1 X+1  X X+3 X+2  3 X+2  3  0  2  X X+3 X+3  3  0  2 X+3  X X+2  1  1  1  2 X+2 X+1 X+1 X+2  2  2 X+2  3  2 X+3  2  1 X+1  0  0
 0  0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  2  2  0  0  0  2  2  2  2  0  2  2  0  2  0  0  0  0  2  2  2  0  0  0  2  0  0  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+70x^38+262x^39+366x^40+790x^41+538x^42+982x^43+590x^44+1138x^45+601x^46+988x^47+484x^48+624x^49+266x^50+256x^51+121x^52+68x^53+28x^54+6x^55+5x^56+2x^57+2x^59+1x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=180, k=13 and d=76.
This code was found by Heurico 1.13 in 0.736 seconds.