The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  2  X  1  X  0  2  0  1  X  1  X  1  2  X  2  X  X  X
 0  X  0  0  0  0  0  0  0  X X+2  X  X X+2  X  2  X X+2  2  0  2  2  0  0 X+2  X  X  0  2  X X+2  X X+2  2  X  2  2  0 X+2  0
 0  0  X  0  0  0  X X+2  X  0  0  0  X  X X+2  2  X  0 X+2  2  X  2  X  2  X X+2  X  0  0  2  2 X+2  2  X  0 X+2  X  X X+2  0
 0  0  0  X  0  X  X X+2  0  X  X  2  0  2 X+2  X X+2 X+2 X+2 X+2  X  2 X+2 X+2  2  X  2  X  0  2  0  0  2  X  X  0  2  2 X+2  0
 0  0  0  0  X  X  0 X+2  X  2 X+2 X+2  0 X+2  X  2  0  0  2 X+2 X+2  X  2 X+2  X X+2 X+2 X+2  X  2  0 X+2 X+2 X+2  0  0 X+2 X+2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  2  2  2  2  2
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  0  0  0  2  0  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  2
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  0  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+119x^30+395x^32+28x^33+832x^34+268x^35+1380x^36+700x^37+2093x^38+1036x^39+2562x^40+1076x^41+2234x^42+708x^43+1430x^44+244x^45+737x^46+36x^47+346x^48+118x^50+30x^52+10x^54+1x^70

The gray image is a code over GF(2) with n=160, k=14 and d=60.
This code was found by Heurico 1.16 in 9.97 seconds.