The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+90x^39+147x^40+148x^41+222x^42+224x^43+273x^44+286x^45+221x^46+288x^47+310x^48+278x^49+322x^50+268x^51+216x^52+240x^53+181x^54+134x^55+61x^56+68x^57+72x^58+20x^59+15x^60+2x^61+5x^62+1x^64+2x^65+1x^70

The gray image is a code over GF(2) with n=96, k=12 and d=39.
This code was found by Heurico 1.16 in 12.2 seconds.