The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^38+52x^39+161x^40+148x^41+184x^42+240x^43+240x^44+272x^45+267x^46+320x^47+275x^48+296x^49+276x^50+296x^51+230x^52+240x^53+177x^54+108x^55+83x^56+68x^57+68x^58+8x^59+24x^60+5x^62+8x^64+2x^68

The gray image is a code over GF(2) with n=96, k=12 and d=38.
This code was found by Heurico 1.16 in 2.05 seconds.