The generator matrix

 1  0  0  0  0  1  1  1  0  1  2  1 X+2  0  X  1  2  1  1  1 X+2  2  1  1  1 X+2  1  X  X  0 X+2  1  1  1  1  1  1  1  X  1  2  0  1  2  1
 0  1  0  0  0  0 X+1  X  0 X+3  1  X  1  1 X+2  1  1  1 X+1 X+3  1  X X+2 X+2  1 X+2 X+1  1 X+2  1  1  0 X+2  X  2  2  0  X  2  2  1  1 X+2  1  2
 0  0  1  0  0  0  1 X+1  1  1  2  3 X+3  1  2 X+2  1 X+2  2 X+2  2  1  X X+3  3  1 X+1  3 X+2  0 X+1  0  0 X+3 X+2 X+1 X+1  X  0  0  3 X+3  0  0  2
 0  0  0  1  0  1  2  3  3 X+1  1 X+2 X+1 X+3  1  1 X+2  2 X+3 X+2  X X+3 X+2  0  1 X+2 X+2  0  1 X+2 X+3  3 X+2 X+1 X+2  2 X+2 X+3 X+2  2 X+2 X+3  0  X  0
 0  0  0  0  1  1  3 X+2 X+3  3  X  3  2  3 X+3  3 X+3 X+1  X  X X+3 X+2 X+3  0  X  3  0 X+2 X+3 X+2 X+1  X  3  1  0  3 X+2 X+1  1 X+1  X  2  X X+2  0
 0  0  0  0  0  X  0  X  X X+2  X  2 X+2 X+2  X  X  2  2  X  0  0  X X+2 X+2  0  X  X X+2  0 X+2  2  2  0  2 X+2  X X+2  X  0 X+2  0  2  X  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+94x^35+463x^36+948x^37+2108x^38+3196x^39+5351x^40+7374x^41+10512x^42+12426x^43+14952x^44+15116x^45+15935x^46+12828x^47+10599x^48+7588x^49+5285x^50+2906x^51+1829x^52+808x^53+413x^54+160x^55+117x^56+38x^57+19x^58+6x^59

The gray image is a code over GF(2) with n=180, k=17 and d=70.
This code was found by Heurico 1.13 in 134 seconds.