The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+189x^38+460x^40+807x^42+978x^44+1052x^46+1173x^48+1160x^50+1021x^52+695x^54+412x^56+185x^58+48x^60+8x^62+2x^64+1x^84

The gray image is a code over GF(2) with n=96, k=13 and d=38.
This code was found by Heurico 1.16 in 6.41 seconds.