The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^34+82x^35+217x^36+310x^37+397x^38+528x^39+617x^40+750x^41+945x^42+1076x^43+1161x^44+1284x^45+1323x^46+1324x^47+1305x^48+1204x^49+950x^50+850x^51+611x^52+464x^53+368x^54+208x^55+155x^56+78x^57+53x^58+24x^59+27x^60+4x^61+7x^62+4x^63+2x^64+2x^66+2x^69+1x^70

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 40.1 seconds.