The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^39+146x^40+178x^41+196x^42+238x^43+261x^44+270x^45+286x^46+268x^47+307x^48+280x^49+295x^50+262x^51+214x^52+228x^53+175x^54+148x^55+110x^56+62x^57+35x^58+28x^59+17x^60+6x^61+3x^62+2x^63+2x^66

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 1.49 seconds.