The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^30+360x^32+782x^34+1297x^36+1802x^38+2552x^40+2654x^42+2536x^44+1950x^46+1369x^48+630x^50+293x^52+58x^54+38x^56+14x^58+2x^60

The gray image is a code over GF(2) with n=84, k=14 and d=30.
This code was found by Heurico 1.10 in 7.27 seconds.