The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+171x^40+136x^42+310x^44+252x^46+342x^48+252x^50+309x^52+116x^54+99x^56+12x^58+36x^60+11x^64+1x^68

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 6.09 seconds.