The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  1  1  1  0  1  0  2  2  1  1  0  0  1  2  2  1  0  1  1  1  1  2  2  2  1  1  1  1  1  2  1  1  1  2
 0  1  0  1  0  1  1  0  0  1  1  1  1  2  3  1  0  1  2  0  1  1  1  2  0  1  1  1  0  0  1  1  0  0  0  1  0  1  2  3  3  1  1  1  1  3  2  0
 0  0  1  1  1  0  1  0  1  1  0  2  3  1  0  3  0  0  1  1  1  3  1  3  1  1  0  2  1  2  0  1  2  1  2  0  1  1  0  2  1  0  1  1  3  1  3  0
 0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  2  0  0  2  0  2  0  2  0  0  2  0  2  0  2  2  0  0  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  2  2  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  2  2  0  0  0  2
 0  0  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  2  2  2  2  2  2  2  2  2  2  0  2  2  2  0  2  2  2  2
 0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  0  2  0  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  2  0  2  2  2  2  0  2  2  2  2  2  0
 0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  2  2  0  0  2  0  2  0  2  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  2  2  0  0  2  0  2  0  2  0  2  2  2  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+207x^36+264x^38+942x^40+1128x^42+2011x^44+2232x^46+2844x^48+2128x^50+2113x^52+1144x^54+902x^56+264x^58+180x^60+8x^62+15x^64+1x^92

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 25.8 seconds.