The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+28x^40+44x^41+94x^42+106x^43+161x^44+218x^45+307x^46+286x^47+339x^48+462x^49+476x^50+618x^51+622x^52+620x^53+632x^54+602x^55+512x^56+512x^57+434x^58+468x^59+406x^60+372x^61+403x^62+526x^63+580x^64+632x^65+774x^66+886x^67+1146x^68+1186x^69+1310x^70+1238x^71+1292x^72+1184x^73+1092x^74+1004x^75+798x^76+722x^77+521x^78+440x^79+382x^80+394x^81+394x^82+412x^83+441x^84+470x^85+592x^86+588x^87+616x^88+652x^89+643x^90+604x^91+504x^92+464x^93+358x^94+304x^95+268x^96+212x^97+138x^98+92x^99+81x^100+44x^101+20x^102+16x^103+14x^104+4x^105+3x^106+2x^107+1x^108+1x^110

The gray image is a code over GF(2) with n=142, k=15 and d=40.
This code was found by Heurico 1.16 in 99.8 seconds.