The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+82x^30+134x^31+285x^32+360x^33+479x^34+668x^35+788x^36+950x^37+1043x^38+1224x^39+1346x^40+1404x^41+1455x^42+1328x^43+1133x^44+1060x^45+812x^46+638x^47+450x^48+296x^49+201x^50+100x^51+82x^52+22x^53+23x^54+4x^55+6x^56+4x^57+1x^58+5x^60

The gray image is a code over GF(2) with n=82, k=14 and d=30.
This code was found by Heurico 1.16 in 34.1 seconds.