The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^30+12x^31+124x^32+64x^33+187x^34+160x^35+303x^36+380x^37+422x^38+664x^39+603x^40+768x^41+690x^42+768x^43+590x^44+664x^45+464x^46+380x^47+311x^48+160x^49+172x^50+64x^51+96x^52+12x^53+42x^54+17x^56+6x^58+2x^60+3x^62+1x^66+1x^68

The gray image is a code over GF(2) with n=84, k=13 and d=30.
This code was found by Heurico 1.16 in 12.2 seconds.