The generator matrix

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

generates a code of length 46 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+66x^34+72x^35+260x^36+304x^37+436x^38+462x^39+675x^40+816x^41+918x^42+1138x^43+1088x^44+1256x^45+1206x^46+1352x^47+1192x^48+1188x^49+992x^50+792x^51+672x^52+468x^53+388x^54+250x^55+183x^56+60x^57+79x^58+30x^59+20x^60+4x^61+10x^62+5x^64+1x^74

The gray image is a code over GF(2) with n=92, k=14 and d=34.
This code was found by Heurico 1.16 in 40.8 seconds.