The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+98x^30+36x^31+250x^32+184x^33+417x^34+426x^35+588x^36+740x^37+863x^38+1134x^39+1182x^40+1488x^41+1292x^42+1604x^43+1242x^44+1288x^45+976x^46+736x^47+635x^48+344x^49+345x^50+146x^51+165x^52+52x^53+95x^54+14x^55+28x^56+10x^58+4x^60+1x^68

The gray image is a code over GF(2) with n=84, k=14 and d=30.
This code was found by Heurico 1.16 in 19.3 seconds.