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

generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+80x^35+162x^36+210x^37+310x^38+372x^39+471x^40+642x^41+942x^42+1556x^43+2150x^44+2506x^45+2271x^46+1538x^47+987x^48+650x^49+460x^50+322x^51+294x^52+204x^53+106x^54+98x^55+29x^56+12x^57+6x^58+2x^59+2x^60+1x^78

The gray image is a code over GF(2) with n=180, k=14 and d=70.
This code was found by Heurico 1.16 in 12.1 seconds.