The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^34+224x^35+432x^36+572x^37+745x^38+1038x^39+1285x^40+1598x^41+1790x^42+2094x^43+2398x^44+2542x^45+2760x^46+2586x^47+2456x^48+2432x^49+1950x^50+1646x^51+1275x^52+996x^53+716x^54+418x^55+295x^56+162x^57+112x^58+50x^59+46x^60+18x^61+10x^62+6x^63+3x^64+2x^67+1x^68+1x^70

The gray image is a code over GF(2) with n=92, k=15 and d=34.
This code was found by Heurico 1.10 in 34.2 seconds.