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

generates a code of length 45 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+45x^38+71x^40+40x^42+80x^44+1536x^45+135x^46+86x^48+8x^50+27x^54+17x^56+1x^62+1x^80

The gray image is a code over GF(2) with n=360, k=11 and d=152.
This code was found by Heurico 1.16 in 1.12 seconds.