The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+86x^31+197x^32+374x^33+513x^34+686x^35+998x^36+1236x^37+1503x^38+1808x^39+2255x^40+2518x^41+2615x^42+2828x^43+2785x^44+2588x^45+2300x^46+2034x^47+1750x^48+1158x^49+824x^50+658x^51+404x^52+288x^53+163x^54+88x^55+51x^56+30x^57+15x^58+4x^59+5x^60+2x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=86, k=15 and d=31.
This code was found by Heurico 1.16 in 76.6 seconds.