The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+203x^44+179x^48+68x^52+42x^56+15x^60+2x^64+2x^68

The gray image is a code over GF(2) with n=96, k=9 and d=44.
This code was found by Heurico 1.16 in 0.509 seconds.