The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^30+6x^31+92x^32+48x^33+133x^34+142x^35+200x^36+256x^37+277x^38+364x^39+298x^40+416x^41+293x^42+364x^43+261x^44+256x^45+192x^46+142x^47+133x^48+48x^49+68x^50+6x^51+34x^52+21x^54+4x^56+1x^58+1x^60+1x^66

The gray image is a code over GF(2) with n=82, k=12 and d=30.
This code was found by Heurico 1.16 in 1.47 seconds.