The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^30+64x^31+274x^32+264x^33+529x^34+668x^35+895x^36+1170x^37+1567x^38+1874x^39+2178x^40+2598x^41+2572x^42+2938x^43+2710x^44+2756x^45+2310x^46+1988x^47+1611x^48+1188x^49+921x^50+576x^51+435x^52+202x^53+199x^54+74x^55+80x^56+14x^57+26x^58+10x^59+8x^60+3x^62

The gray image is a code over GF(2) with n=86, k=15 and d=30.
This code was found by Heurico 1.16 in 71.1 seconds.