The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^40+88x^41+137x^42+158x^43+145x^44+174x^45+164x^46+156x^47+122x^48+100x^49+102x^50+108x^51+109x^52+100x^53+106x^54+76x^55+47x^56+44x^57+29x^58+14x^59+10x^60+6x^61+6x^62

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 0.369 seconds.