The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+105x^30+166x^31+338x^32+450x^33+738x^34+966x^35+1198x^36+1544x^37+1905x^38+2134x^39+2436x^40+2840x^41+2779x^42+2880x^43+2564x^44+2384x^45+2064x^46+1634x^47+1219x^48+818x^49+632x^50+358x^51+258x^52+152x^53+85x^54+50x^55+46x^56+4x^57+11x^58+4x^59+4x^60+1x^62

The gray image is a code over GF(2) with n=84, k=15 and d=30.
This code was found by Heurico 1.16 in 72.6 seconds.