The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^39+138x^40+176x^41+212x^42+232x^43+249x^44+276x^45+295x^46+286x^47+297x^48+280x^49+305x^50+258x^51+217x^52+220x^53+163x^54+134x^55+111x^56+64x^57+39x^58+38x^59+10x^60+8x^61+10x^62+1x^64

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 1.61 seconds.