The generator matrix

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

generates a code of length 40 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+46x^33+204x^34+342x^35+622x^36+604x^37+961x^38+786x^39+1104x^40+854x^41+936x^42+604x^43+527x^44+272x^45+192x^46+50x^47+46x^48+16x^49+8x^50+10x^51+3x^52+3x^54+1x^56

The gray image is a code over GF(2) with n=160, k=13 and d=66.
This code was found by Heurico 1.16 in 1.81 seconds.