The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  2  2  1  1  X  1  1  1  X  1  1  0  1  1  1 X+2  1  0  X  0  1  1 X+2  1  1  1  0  1
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  0  1  1 X+1  2  1  1  2  3  1  X  1 X+3  1  X  2  1  X  3 X+3  1 X+1  1  1  X  2 X+1  1  2 X+2  1  X  0
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2  0  X X+2  2  X  0  2 X+2 X+2 X+2  X  2  0  X  X X+2  0  0  X  2  2  X  0 X+2  2  2  2 X+2  2  2  0 X+2  0
 0  0  0  X  0  0  2  2  2  2  0  2 X+2 X+2 X+2 X+2  X  X X+2  X X+2  X  X  X  0 X+2  2  0  0  X  0  X  0 X+2  X X+2 X+2  0  2  0 X+2  0 X+2  2  0
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2 X+2  2 X+2  X X+2  2  X  0  0 X+2 X+2  X X+2 X+2  X X+2  2  2  2  2  2  0  0  X X+2  0  X X+2  X  0  0  0  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+40x^38+108x^39+223x^40+234x^41+506x^42+330x^43+524x^44+260x^45+569x^46+296x^47+455x^48+156x^49+136x^50+116x^51+68x^52+20x^53+22x^54+12x^55+9x^56+2x^57+6x^58+2x^59+1x^62

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 0.547 seconds.