The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+134x^28+24x^30+481x^32+310x^34+1384x^36+1506x^38+3082x^40+2460x^42+3134x^44+1500x^46+1486x^48+334x^50+412x^52+10x^54+98x^56+24x^60+4x^64

The gray image is a code over GF(2) with n=84, k=14 and d=28.
This code was found by Heurico 1.16 in 19.7 seconds.