The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+143x^36+38x^38+513x^40+430x^42+1142x^44+1068x^46+1546x^48+1068x^50+1120x^52+430x^54+507x^56+38x^58+122x^60+24x^64+1x^68+1x^80

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 7.6 seconds.