The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+54x^36+118x^37+171x^38+228x^39+355x^40+428x^41+536x^42+776x^43+964x^44+1008x^45+900x^46+814x^47+559x^48+388x^49+316x^50+206x^51+158x^52+90x^53+56x^54+22x^55+21x^56+16x^57+4x^58+2x^59+1x^70

The gray image is a code over GF(2) with n=180, k=13 and d=72.
This code was found by Heurico 1.16 in 3.41 seconds.