The generator matrix

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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+47x^40+48x^41+83x^42+110x^43+170x^44+206x^45+282x^46+306x^47+413x^48+450x^49+500x^50+578x^51+553x^52+650x^53+559x^54+618x^55+507x^56+462x^57+401x^58+388x^59+328x^60+270x^61+326x^62+282x^63+352x^64+490x^65+536x^66+634x^67+717x^68+938x^69+1091x^70+1144x^71+1310x^72+1206x^73+1280x^74+1200x^75+1114x^76+930x^77+802x^78+654x^79+540x^80+428x^81+352x^82+310x^83+284x^84+276x^85+291x^86+352x^87+399x^88+446x^89+556x^90+646x^91+515x^92+704x^93+579x^94+554x^95+556x^96+420x^97+373x^98+314x^99+298x^100+232x^101+133x^102+90x^103+67x^104+34x^105+36x^106+12x^107+13x^108+2x^109+9x^110+8x^112+3x^114

The gray image is a code over GF(2) with n=146, k=15 and d=40.
This code was found by Heurico 1.16 in 98.3 seconds.