The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  1  1  1  1  1  1  2  2  1  2  0  0  2  0  2  1  1  2  0  0  2  0  2  2  1  0  2  1  2  1  1  1  1  1  1  1  2
 0  1  0  0  0  0  0  0  0  1  1  3  1  2  2  1  1  0  1  0  1  1  1  1  1  2  0  1  1  1  2  1  1  2  1  0  1  0  3  2  2  3  2  3  2  1  1  1
 0  0  1  0  0  0  1  1  1  1  1  2  2  0  1  3  1  1  3  2  2  3  2  1  3  0  3  0  0  2  1  3  0  0  0  3  3  1  3  1  1  2  3  1  1  3  1  2
 0  0  0  1  0  1  1  0  1  0  1  3  3  2  0  0  1  2  2  1  3  2  0  3  1  1  3  2  2  1  3  0  3  1  3  0  2  3  3  3  1  0  1  0  2  2  1  3
 0  0  0  0  1  1  0  1  1  0  1  1  0  3  2  1  0  1  3  2  2  2  3  0  1  1  1  0  2  3  2  3  0  1  3  0  2  0  2  1  0  1  3  0  3  1  3  2
 0  0  0  0  0  2  0  0  0  0  0  0  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  2  0  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  0  2  2  2  0  2  2  2  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  0  2  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  0  0  0  0  2  0  2  2  0
 0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  2  0  0  0  2  2  2  0  0  0  0  0  2  0  2
 0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  2  0  0  2  0  0  2  0  2  2  2  0  2  0  2  2  2  0  0  0  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+292x^36+838x^38+1641x^40+2384x^42+3705x^44+4580x^46+5455x^48+4892x^50+4075x^52+2518x^54+1420x^56+576x^58+276x^60+80x^62+26x^64+4x^66+3x^68+1x^72+1x^76

The gray image is a code over GF(2) with n=96, k=15 and d=36.
This code was found by Heurico 1.16 in 85 seconds.