The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^34+60x^35+57x^36+82x^37+119x^38+82x^39+62x^40+92x^41+88x^42+78x^43+38x^44+52x^45+54x^46+30x^47+25x^48+28x^49+22x^50+6x^51+9x^52+2x^53+3x^54

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 0.0876 seconds.