The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+73x^34+142x^36+146x^38+165x^40+161x^42+146x^44+110x^46+45x^48+13x^50+8x^52+8x^54+5x^56+1x^58

The gray image is a code over GF(2) with n=82, k=10 and d=34.
This code was found by Heurico 1.16 in 0.359 seconds.