The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+85x^34+231x^36+252x^38+348x^40+277x^42+346x^44+188x^46+177x^48+83x^50+47x^52+8x^54+2x^56+3x^58

The gray image is a code over GF(2) with n=84, k=11 and d=34.
This code was found by Heurico 1.16 in 0.336 seconds.