The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+72x^36+100x^37+258x^38+308x^39+458x^40+600x^41+669x^42+760x^43+894x^44+944x^45+1113x^46+1282x^47+1202x^48+1336x^49+1191x^50+1202x^51+933x^52+844x^53+656x^54+448x^55+450x^56+240x^57+175x^58+84x^59+76x^60+32x^61+29x^62+10x^63+9x^64+5x^66+2x^67+1x^68

The gray image is a code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.16 in 45.3 seconds.