The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  2  1  1  1  1  2  2  1  2  1  1  1  2  2  2  2  2  2  2
 0  2  0  0  0  0  0  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  2  2  2  2
 0  0  2  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  0  2  0  2  0  2  2  0  0  2  2  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  2  2  0  2  0  0  0  2  2  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  0  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  2  2  0  0  2  2  2  2  2  0  2  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  2  2  0  2  2  0  0  2  0  2  0  0  0  2  2  2  0  2  2  2  2  2  0
 0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  0  2  2  0  0  0  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  0  2  0  0  0  2  0  2  0  2  0  2  2  2  0  0  2  0  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  2  2  0  0  2  0  2  0  0  0  2  0  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  2  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  0  2  2  0  0  2  2  2  0  0  2  0  0  0  0  2  2  0  0  0  2  2  2  2  0  2

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

Homogenous weight enumerator: w(x)=1x^0+254x^28+6x^30+742x^32+188x^34+1740x^36+986x^38+3359x^40+1736x^42+3399x^44+986x^46+1923x^48+188x^50+647x^52+6x^54+173x^56+39x^60+10x^64+1x^68

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 90.2 seconds.