The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+28x^35+134x^36+288x^37+404x^38+558x^39+813x^40+1086x^41+1271x^42+1528x^43+1858x^44+2110x^45+2203x^46+2554x^47+2756x^48+2484x^49+2427x^50+2264x^51+2091x^52+1668x^53+1267x^54+1034x^55+665x^56+494x^57+313x^58+208x^59+108x^60+62x^61+45x^62+14x^63+21x^64+5x^66+4x^67+1x^68+1x^70

The gray image is a code over GF(2) with n=96, k=15 and d=35.
This code was found by Heurico 1.10 in 34.6 seconds.