The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+51x^40+110x^41+109x^42+142x^43+150x^44+132x^45+158x^46+174x^47+144x^48+128x^49+126x^50+112x^51+107x^52+90x^53+90x^54+70x^55+52x^56+46x^57+25x^58+14x^59+7x^60+6x^61+4x^62

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.10 in 0.125 seconds.