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
 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  1  2  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  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  0  1  0  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  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  2  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  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  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  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  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  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  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  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  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  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  0  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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+10x^40+16x^41+47x^42+44x^43+93x^44+146x^45+177x^46+198x^47+247x^48+368x^49+390x^50+416x^51+534x^52+546x^53+592x^54+562x^55+581x^56+610x^57+436x^58+452x^59+359x^60+384x^61+353x^62+292x^63+290x^64+296x^65+370x^66+382x^67+534x^68+660x^69+734x^70+934x^71+1129x^72+1196x^73+1305x^74+1340x^75+1280x^76+1218x^77+1144x^78+976x^79+838x^80+654x^81+518x^82+426x^83+312x^84+250x^85+268x^86+270x^87+321x^88+344x^89+395x^90+502x^91+507x^92+508x^93+567x^94+656x^95+577x^96+564x^97+511x^98+480x^99+356x^100+312x^101+267x^102+202x^103+184x^104+94x^105+97x^106+54x^107+33x^108+24x^109+17x^110+6x^111+5x^112+2x^113+3x^114+1x^118+1x^120

The gray image is a code over GF(2) with n=150, k=15 and d=40.
This code was found by Heurico 1.16 in 98.5 seconds.