The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+91x^34+208x^35+284x^36+420x^37+526x^38+662x^39+806x^40+918x^41+1133x^42+1158x^43+1258x^44+1324x^45+1258x^46+1322x^47+1160x^48+964x^49+812x^50+662x^51+485x^52+360x^53+257x^54+144x^55+88x^56+46x^57+16x^58+4x^59+9x^60+3x^62+4x^64+1x^72

The gray image is a code over GF(2) with n=90, k=14 and d=34.
This code was found by Heurico 1.10 in 8.45 seconds.