The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  1  1  0  1  0  1  2  0  1  0  1  1  1  0  2  1  1  0  1  2  2  1  2  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  2  2  2  0  1  1  3  1  0  2  1  3  1  0  0  1  3  2  2  3  1  1  2  2  1  3  0  0
 0  0  1  1  1  0  1  0  1  1  0  2  1  1  1  0  1  1  0  0  1  1  1  0  0  1  0  1  1  0  2  1  1  1  3  3  1  1  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  2  0  2  0  0  2  0  0  0  0  2  0  2  0  2  2  2  0  2  2  0  0  2  0  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  2  0  0  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  0  0  0  0  2  0  0  0  2  2  0  0  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  0  0  2  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  0  2  2  0  2  2  2  0  0  2  0  0  2  0  0  0  2  0  0  2  2  0  0
 0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  2  2  2  0  2  2  2  0  0  0  2  2  2  2  2  0  0  0  0  2  0  0  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  0  0  2  2  2  2  0  0  0  0  2  0  2  2  0  2  2  2  0  0  2  2  2

generates a code of length 41 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+104x^28+106x^30+557x^32+758x^34+1659x^36+2024x^38+3073x^40+2572x^42+2557x^44+1370x^46+1001x^48+318x^50+221x^52+20x^54+39x^56+3x^60+1x^64

The gray image is a code over GF(2) with n=82, k=14 and d=28.
This code was found by Heurico 1.16 in 17.7 seconds.