The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+189x^38+449x^40+778x^42+941x^44+1102x^46+1266x^48+1139x^50+960x^52+747x^54+425x^56+129x^58+49x^60+9x^62+3x^64+1x^66+2x^68+1x^74+1x^78

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 65.8 seconds.