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  1  1  2  2  1  1  1  1  2  2  0  1  1  0  0  1  2  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  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  2  1  0  1  2  3  2  2  0  2  1  1  2  2  0  2  1  1  1  3  0  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  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  3  3  0  2  2  2  2  2  1  1  1  2  2  2  0  3  1  2  1  1  3  1  2  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  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  2  3  3  0  0  2  3  0  0  3  0  1  2  0  1  3  0  2  1  1  3  3  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  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  0  0  3  1  0  2  0  3  3  0  1  2  0  1  3  2  3  1  2  3  2  0  1  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  1  1  1  0  1  1  2  0  1  3  0  2  3  2  0  2  2  1  1  0  1  3  2  2  3  1  0  3  2  2  1  3  1  3  2  1  0  3  1  3  0  2  3  0  3  3  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  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  0  2  0  2  2  0  2  0  2  2  0  0  2  0  0  0  0  2  2  0  2  0  0  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  0  0  2  0  2  2  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  2  2  2  0  0  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  0  2  0  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  0  0  0  2  2  0  0  2  2  2  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  2  0  2  0  2  0  0  2  0  2  2  2  2  0  2  2  0  0  2  2  2  2  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 76 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+11x^40+30x^41+46x^42+76x^43+80x^44+116x^45+167x^46+192x^47+244x^48+336x^49+384x^50+452x^51+539x^52+552x^53+579x^54+592x^55+585x^56+552x^57+506x^58+454x^59+380x^60+310x^61+301x^62+272x^63+251x^64+272x^65+262x^66+302x^67+409x^68+510x^69+623x^70+762x^71+930x^72+1088x^73+1200x^74+1330x^75+1332x^76+1284x^77+1236x^78+1080x^79+982x^80+844x^81+651x^82+530x^83+373x^84+288x^85+248x^86+212x^87+202x^88+220x^89+322x^90+352x^91+401x^92+478x^93+527x^94+542x^95+566x^96+592x^97+565x^98+576x^99+528x^100+466x^101+409x^102+334x^103+282x^104+182x^105+121x^106+100x^107+68x^108+60x^109+37x^110+30x^111+26x^112+12x^113+6x^114+4x^115+1x^116+1x^118+1x^122+1x^124

The gray image is a code over GF(2) with n=152, k=15 and d=40.
This code was found by Heurico 1.16 in 99.2 seconds.