The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  1  1  0  1  1  0 X+2  X  1  1  1  1  1 X+2  1  1  0  1  1  0  1 X+2  1 X+2  1  2  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  3 X+2  1 X+1  0  1  1  1 X+1  0 X+2  3 X+1  1  0  0  1  X X+2  1 X+3  1  3  1 X+2  1  1
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  0  0  2  0  0  2  0  2  2  2  2  2  2  0  0  2  0  2  2  0  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  2  2  2  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2
 0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  2  0  0  2  0  0  0  2  2  2  2  0  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  0  0  2  2  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  0  2  0  0  2  2  0  2  2  0  2  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  2  0  0  2  2  0  2  0  2  2  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+98x^38+32x^39+245x^40+192x^41+384x^42+352x^43+559x^44+384x^45+571x^46+352x^47+396x^48+192x^49+205x^50+32x^51+62x^52+16x^54+13x^56+2x^58+3x^60+3x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=180, k=12 and d=76.
This code was found by Heurico 1.16 in 80 seconds.