The generator matrix

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

generates a code of length 49 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+80x^34+523x^36+1252x^38+2581x^40+4018x^42+6219x^44+8022x^46+9959x^48+9732x^50+8558x^52+6396x^54+4176x^56+2258x^58+1083x^60+454x^62+162x^64+40x^66+17x^68+4x^70+1x^72

The gray image is a code over GF(2) with n=98, k=16 and d=34.
This code was found by Heurico 1.10 in 153 seconds.