The generator matrix

 1  0  0  1  1  1  X  0  1  X  1  1  1  2 X+2  0  1  1 X+2  1  1  1  0  1  1  2  X  1  1  1  1  0  0  X  1  X  1  1  1  1  X X+2  1  X  1
 0  1  0  0  1 X+3  1  X X+3  1  X X+2 X+3  1  1  2 X+2  1  1 X+2 X+3  2  1 X+3  0  0  1  2  3 X+1 X+1  1  1  1  X  1 X+1  2 X+2 X+1  1  1  X  0  0
 0  0  1  1  1  0  1  1  1 X+3  3  X  X X+2  1  1 X+2 X+1  0  2  X  3 X+1 X+2 X+1  1 X+3 X+1  1  3  1 X+2  1  0 X+1 X+2 X+2  2  X X+3 X+2  1 X+3  0  0
 0  0  0  X  0  0  0  0  0  0  X  2  2  0 X+2  X  X  X  X X+2 X+2  2  X X+2  2 X+2  2 X+2 X+2  2 X+2 X+2  X X+2  0  2  X X+2  X  0  0  0  2  2 X+2
 0  0  0  0  X X+2  2 X+2  2 X+2  X  X  2  X  2  0  X  0 X+2  2 X+2  2 X+2  0 X+2 X+2  0  X  0  X  X X+2  X  0  0  2  0  0 X+2  0  X  0  X X+2  X
 0  0  0  0  0  2  2  0  0  2  0  0  2  0  0  2  2  2  2  2  0  2  0  0  2  0  0  2  0  2  2  0  2  2  0  0  2  0  0  2  0  0  0  0  2

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+94x^37+256x^38+468x^39+744x^40+1054x^41+1315x^42+1532x^43+1778x^44+1906x^45+1825x^46+1618x^47+1354x^48+978x^49+599x^50+378x^51+265x^52+120x^53+35x^54+34x^55+17x^56+8x^57+2x^58+2x^59+1x^60

The gray image is a code over GF(2) with n=180, k=14 and d=74.
This code was found by Heurico 1.16 in 7.51 seconds.