The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^31+206x^32+312x^33+559x^34+734x^35+1009x^36+1286x^37+1494x^38+1754x^39+2214x^40+2434x^41+2537x^42+2844x^43+2849x^44+2692x^45+2301x^46+2102x^47+1659x^48+1184x^49+853x^50+578x^51+447x^52+258x^53+180x^54+90x^55+56x^56+22x^57+11x^58+4x^59+7x^60+4x^61+1x^62

The gray image is a code over GF(2) with n=86, k=15 and d=31.
This code was found by Heurico 1.10 in 31.2 seconds.