The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+121x^28+616x^30+1459x^32+3004x^34+4929x^36+7446x^38+9826x^40+10522x^42+9858x^44+7734x^46+5168x^48+2760x^50+1357x^52+506x^54+162x^56+50x^58+15x^60+2x^62

The gray image is a code over GF(2) with n=84, k=16 and d=28.
This code was found by Heurico 1.10 in 105 seconds.