The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  1  2  1  2  1  1  1  1  2  1  2  2  1  2  1  2
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  0  2  2  0  2  2  2  2  0  2  0  2  0  2  2  0  0  0  0  0  2  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  0  0  0  0  0  2  2  0  0  2  2  0  0  0  2  2  2  2  2  0  0  0  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  2  0  2  0  2  0  2  0  2  2  0  2  0  0  2  0  0  2  0  0  0  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  2  0  2  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  0  2  2
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  2  2  0  0  2  2  2  2  2  0  0  2  0  0  0  2  2  0  2  0  2  2  0  2
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  0  2  0  2  2  0  2  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+130x^40+34x^42+161x^44+88x^46+226x^48+108x^50+128x^52+24x^54+78x^56+2x^58+30x^60+13x^64+1x^76

The gray image is a code over GF(2) with n=96, k=10 and d=40.
This code was found by Heurico 1.16 in 2.14 seconds.