The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  2  2  2  2  0  1  1  1  2  1  1  1  2  0  1  0  0  1  2  1  1  0  0  1  1  2  1  0  1
 0  1  0  0  0  1  1  1  0  0  3  3  1  2  1  1  2  3  2  0  1  1  2  2  0  0  3  1  1  3  1  0  1  1  1  0  2  2  3  0  1
 0  0  1  0  1  1  0  1  0  1  1  2  0  1  1  3  1  0  1  0  2  1  0  3  1  2  3  0  0  2  1  1  1  2  1  3  1  0  0  1  0
 0  0  0  1  1  0  1  1  1  0  1  0  1  1  2  0  2  0  0  0  0  2  3  2  1  1  1  0  1  1  3  3  1  1  3  0  1  1  1  3  1
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  0  0  2  0  0  2  2  2  0  2  2  2  2  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  2  0  2  2  2  2  0  0  2  0  2  0  2  0  0  2  0  2  2  0  2  0  2  0
 0  0  0  0  0  0  0  2  0  0  2  0  2  2  2  2  0  2  0  2  0  2  0  2  0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  2  2  0  0  2  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2  0  2  2  2  0  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+148x^30+515x^32+958x^34+1502x^36+2193x^38+2814x^40+2838x^42+2312x^44+1659x^46+892x^48+346x^50+134x^52+47x^54+18x^56+2x^58+4x^60+1x^62

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 47.3 seconds.