The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+145x^36+164x^40+139x^44+49x^48+11x^52+2x^56+1x^60

The gray image is a code over GF(2) with n=82, k=9 and d=36.
This code was found by Heurico 1.16 in 0.133 seconds.