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
 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  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  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  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  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  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  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  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  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

generates a code of length 72 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+582x^57+527x^58+540x^59+485x^60+464x^61+489x^62+494x^63+565x^64+566x^65+711x^66+810x^67+959x^68+1130x^69+1177x^70+1314x^71+1222x^72+1212x^73+1191x^74+1090x^75+976x^76+878x^77+755x^78+604x^79+582x^80+500x^81+519x^82+446x^83+485x^84+444x^85+489x^86+560x^87+540x^88+660x^89+515x^90+594x^91+561x^92+448x^93+425x^94+326x^95+266x^96+218x^97+163x^98+90x^99+69x^100+60x^101+43x^102+8x^103+12x^104+10x^105+12x^106+4x^107+3x^108+1x^110

The gray image is a code over GF(2) with n=144, k=15 and d=41.
This code was found by Heurico 1.16 in 99.9 seconds.