The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+64x^30+334x^31+902x^32+1656x^33+3157x^34+4792x^35+7571x^36+10088x^37+13714x^38+14788x^39+16456x^40+14998x^41+14098x^42+10174x^43+7860x^44+4734x^45+2788x^46+1524x^47+793x^48+330x^49+161x^50+66x^51+17x^52+2x^53+2x^54+2x^55

The gray image is a code over GF(2) with n=160, k=17 and d=60.
This code was found by Heurico 1.13 in 118 seconds.