The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+70x^37+103x^38+92x^39+100x^40+88x^41+92x^42+80x^43+46x^44+44x^45+58x^46+48x^47+63x^48+40x^49+28x^50+32x^51+10x^52+14x^53+7x^54+4x^55+4x^56

The gray image is a code over GF(2) with n=86, k=10 and d=37.
This code was found by Heurico 1.16 in 5.27 seconds.