The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^36+82x^37+215x^38+340x^39+422x^40+550x^41+679x^42+758x^43+916x^44+1036x^45+1149x^46+1278x^47+1235x^48+1340x^49+1224x^50+1140x^51+1029x^52+794x^53+646x^54+488x^55+348x^56+254x^57+159x^58+86x^59+78x^60+40x^61+21x^62+6x^63+10x^64+2x^66+1x^68+1x^70

The gray image is a code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.16 in 43.8 seconds.