The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+48x^34+8x^35+134x^36+32x^37+270x^38+280x^39+564x^40+944x^41+1170x^42+1728x^43+1912x^44+2160x^45+1939x^46+1824x^47+1178x^48+912x^49+537x^50+248x^51+246x^52+48x^53+108x^54+8x^55+48x^56+20x^58+12x^60+3x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=180, k=14 and d=68.
This code was found by Heurico 1.16 in 8.55 seconds.