The generator matrix

1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 2 0 1 2 1 0 1 1 1 0 1 1 0 2 1 2 1 0 2 1 1 1 1 1 0 0 1 2 0 0 0
0 1 0 0 0 0 0 0 0 0 0 1 2 1 1 0 3 1 2 1 1 2 2 0 3 0 1 0 3 1 1 3 1 3 1 1 3 1 3 1 2 0 2 3 2 2 1 1
0 0 1 0 0 0 0 0 0 0 0 2 1 1 3 1 3 3 1 2 0 2 0 2 0 1 3 3 3 1 2 3 0 1 2 0 1 2 3 1 0 1 2 2 1 0 0 0
0 0 0 1 0 0 0 1 1 1 2 0 0 0 0 0 0 3 1 1 3 3 1 2 2 3 3 0 1 2 1 3 2 3 3 2 3 3 1 1 2 1 1 3 1 2 1 3
0 0 0 0 1 0 1 0 1 3 2 0 0 0 0 3 1 0 0 1 2 1 1 2 3 2 2 2 3 0 3 3 3 0 1 2 0 2 1 1 0 3 3 2 0 1 0 2
0 0 0 0 0 1 1 3 2 1 1 1 3 2 3 0 1 0 3 3 3 0 1 0 0 0 0 3 2 1 2 2 3 3 0 0 3 2 3 2 0 0 2 3 3 2 3 1
0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 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+116x^38+152x^39+260x^40+314x^41+398x^42+422x^43+453x^44+552x^45+530x^46+594x^47+531x^48+634x^49+600x^50+550x^51+492x^52+430x^53+364x^54+302x^55+216x^56+116x^57+97x^58+28x^59+31x^60+2x^61+6x^62+1x^90

The gray image is a code over GF(2) with n=96, k=13 and d=38.
This code was found by Heurico 1.10 in 2.41 seconds.