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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+39x^30+93x^32+85x^34+40x^35+82x^36+120x^37+115x^38+200x^39+122x^40+2328x^41+104x^42+248x^43+76x^44+104x^45+85x^46+24x^47+94x^48+8x^49+66x^50+34x^52+17x^54+10x^56+1x^66

The gray image is a code over GF(2) with n=164, k=12 and d=60.
This code was found by Heurico 1.16 in 0.844 seconds.