The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+89x^32+8x^33+168x^34+84x^35+523x^36+316x^37+750x^38+676x^39+1062x^40+892x^41+1028x^42+700x^43+762x^44+308x^45+432x^46+76x^47+206x^48+12x^49+52x^50+35x^52+2x^54+10x^56

The gray image is a code over GF(2) with n=164, k=13 and d=64.
This code was found by Heurico 1.16 in 2.06 seconds.