The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^34+80x^35+176x^36+182x^37+297x^38+326x^39+442x^40+462x^41+497x^42+618x^43+571x^44+728x^45+604x^46+616x^47+529x^48+536x^49+433x^50+336x^51+270x^52+130x^53+150x^54+66x^55+52x^56+10x^57+11x^58+6x^59+7x^60+4x^62+1x^66+1x^70

The gray image is a code over GF(2) with n=90, k=13 and d=34.
This code was found by Heurico 1.16 in 5.6 seconds.