The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+53x^30+92x^31+246x^32+336x^33+573x^34+720x^35+984x^36+1302x^37+1457x^38+1852x^39+2149x^40+2500x^41+2554x^42+2632x^43+2664x^44+2738x^45+2380x^46+1904x^47+1661x^48+1220x^49+985x^50+620x^51+440x^52+326x^53+173x^54+104x^55+39x^56+24x^57+16x^58+12x^59+8x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=86, k=15 and d=30.
This code was found by Heurico 1.10 in 29.9 seconds.