The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^30+118x^31+320x^32+370x^33+530x^34+698x^35+754x^36+898x^37+1063x^38+1238x^39+1307x^40+1456x^41+1259x^42+1296x^43+1141x^44+1088x^45+842x^46+622x^47+477x^48+238x^49+262x^50+118x^51+86x^52+46x^53+25x^54+6x^55+7x^56+5x^58+3x^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 35.3 seconds.