The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^31+206x^32+350x^33+545x^34+806x^35+1011x^36+1214x^37+1480x^38+1840x^39+2058x^40+2514x^41+2663x^42+2706x^43+2906x^44+2660x^45+2464x^46+1930x^47+1585x^48+1298x^49+829x^50+630x^51+361x^52+254x^53+190x^54+104x^55+62x^56+30x^57+19x^58+2x^59+2x^60+2x^62+2x^63

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 76.8 seconds.