The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+40x^36+26x^37+103x^38+144x^39+243x^40+252x^41+312x^42+408x^43+451x^44+580x^45+573x^46+594x^47+629x^48+672x^49+620x^50+632x^51+483x^52+394x^53+305x^54+236x^55+157x^56+116x^57+104x^58+32x^59+33x^60+8x^61+27x^62+2x^63+10x^64+4x^66+1x^68

The gray image is a code over GF(2) with n=96, k=13 and d=36.
This code was found by Heurico 1.16 in 6.41 seconds.