The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1 X+2  X  1  1  1  X  1  1  X  1  X  0 X+2  1  1  1  1  X  2  1  1  1  0  1  0 X+2 X+2  2  1  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1 X+3  1  1  1 X+2  0  X X+3  0  1 X+1 X+2  2  1  0 X+2  3 X+2  1  1  X X+2  2  1 X+3  1  1  1  1  3  0
 0  0  1  1  1  0  1  3  1  1  1  0  2  X  1  X  1  2 X+1  2  1 X+1  X X+2  2  1  1 X+3 X+2 X+1  1 X+3  3  0  1  0 X+1  X X+3 X+1 X+3  X X+3 X+2  0
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X X+2 X+2  X  2  X  X X+2 X+2  2  2  0  2  2  0 X+2  2  2  0  0  2  X  2  X  0  2 X+2 X+2  2 X+2  X  2  X
 0  0  0  0  X  2  X X+2  2  2 X+2  X  X X+2 X+2  0  2  2 X+2  2  2  0  X X+2 X+2  0 X+2 X+2  0  2  2  2 X+2 X+2  2  0 X+2 X+2  0  2  X  X  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+84x^38+192x^39+516x^40+450x^41+897x^42+536x^43+1092x^44+756x^45+1128x^46+588x^47+777x^48+312x^49+462x^50+176x^51+132x^52+44x^53+20x^54+12x^55+10x^56+6x^57+1x^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 2.16 seconds.