The generator matrix

 1  0  0  0  0  1  1  1  1  1  1  1  2  2  2  2  0  2  2  2  2  2  0  1  1  0  1  0  1  1  2  1  2  1  1  2  2  1  1  1  2  1  0  1  0  0  1  2  1  1  2  2  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  1  0  0  1  1  0  1  1  1  1  1  1  1  2  0  1  0  2  2  1  1  0  2  0  2  1  2  1  0  2  1  2  0  2  3  2  0  0  0  1  0  1  1  2  3  2  2  3  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  1  0  1  1  0  1  0  1  0  0  3  1  2  1  1  1  1  1  3  0  1  2  2  3  1  3  2  2  2  0  1  2  3  1  1  2  2  0  1  1  1  2  3  3  1  2  1  0  1  2  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  1  0  0  0  1  1  0  0  1  2  1  3  3  3  3  2  1  1  0  1  1  3  1  1  0  1  2  0  0  0  3  1  0  2  2  0  0  2  1  0  1  2  2  0  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  1  1  1  0  0  1  1  2  1  1  1  0  3  3  3  0  3  0  3  3  3  2  1  0  0  2  3  0  3  2  3  0  1  0  3  2  1  2  0  0  1  2  0  3  2  2  2  0  0  2  3  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  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0  0  2  2  2  0  2  0  2  0  0  2  2  2  2  2  2  0  2  0  2  2  0  0  2  2  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  2  0  0  0  0  2  2  2  0  0  2  2  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  2  0  2  0  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  0  0  2  0  0  2  0  2  0  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  0  0  2  2  2  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  2  0  2  0  0  2  2  2  0  0  2  2  0  2  0  0  0  2  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  0  2  2  0  2  2  0  2  2  2  0  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  2  0  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  0  0  2  2  0  2  0  0  2  0  0  2  2  0  2  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 41.

Homogenous weight enumerator: w(x)=1x^0+20x^41+43x^42+56x^43+87x^44+110x^45+174x^46+236x^47+310x^48+328x^49+399x^50+434x^51+455x^52+562x^53+559x^54+586x^55+614x^56+572x^57+501x^58+512x^59+453x^60+426x^61+419x^62+396x^63+443x^64+528x^65+531x^66+700x^67+793x^68+940x^69+1129x^70+1166x^71+1310x^72+1216x^73+1216x^74+1174x^75+1073x^76+966x^77+871x^78+700x^79+580x^80+542x^81+448x^82+428x^83+437x^84+404x^85+455x^86+408x^87+481x^88+556x^89+536x^90+660x^91+511x^92+594x^93+561x^94+448x^95+425x^96+326x^97+266x^98+218x^99+163x^100+90x^101+69x^102+60x^103+43x^104+8x^105+12x^106+10x^107+12x^108+4x^109+3x^110+1x^112

The gray image is a code over GF(2) with n=146, k=15 and d=41.
This code was found by Heurico 1.16 in 99.8 seconds.