The generator matrix

 1  0  0  0  0  0  1  1  1  2  2  1  2  1  2  0  1  1  1  1  0  1  0  2  2  1  2  2  2  1  1  1  1  1  1  1  1  1  0  1  2  1
 0  1  0  0  0  0  0  0  0  1  0  1  1  1  1  1  2  3  1  0  1  2  2  1  2  3  1  1  0  0  1  1  2  0  0  0  0  1  2  1  0  0
 0  0  1  0  0  0  0  0  0  0  1  1  3  1  3  2  1  2  1  0  2  1  0  1  2  0  2  3  1  1  2  2  0  2  1  3  2  1  1  3  0  1
 0  0  0  1  0  0  0  1  1  1  1  2  2  3  3  0  0  0  1  0  2  2  1  3  1  2  1  2  1  1  0  2  2  0  3  1  1  2  1  2  2  1
 0  0  0  0  1  0  1  1  0  1  1  2  2  3  1  3  1  3  0  1  3  2  3  2  0  0  0  3  2  1  2  1  2  0  2  1  3  3  0  2  1  0
 0  0  0  0  0  1  1  0  1  1  3  2  3  0  0  2  3  3  1  2  3  1  2  2  1  3  1  3  1  0  2  2  3  0  1  3  1  2  0  3  3  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  0  2  0  0  0  2  2  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  2  2  2  0  0  2  2  0  0  2  0  2  2  2  0  2  2  0  0  0  0  0  0
 0  0  0  0  0  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  2  2  2  0  2  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+78x^30+160x^31+337x^32+508x^33+693x^34+952x^35+1315x^36+1534x^37+1844x^38+2236x^39+2475x^40+2672x^41+2684x^42+2822x^43+2649x^44+2472x^45+2116x^46+1596x^47+1144x^48+840x^49+673x^50+376x^51+249x^52+154x^53+96x^54+40x^55+19x^56+12x^57+6x^58+10x^59+3x^60+2x^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 94.4 seconds.