The generator matrix

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

generates a code of length 48 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+86x^34+373x^36+909x^38+1762x^40+2537x^42+3661x^44+4442x^46+4880x^48+4734x^50+3881x^52+2745x^54+1471x^56+778x^58+315x^60+136x^62+37x^64+16x^66+2x^68+1x^72+1x^74

The gray image is a code over GF(2) with n=96, k=15 and d=34.
This code was found by Heurico 1.16 in 82.6 seconds.