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
 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  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  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  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  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  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  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  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  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  0  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

generates a code of length 74 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+19x^40+28x^41+61x^42+84x^43+139x^44+150x^45+202x^46+266x^47+353x^48+430x^49+458x^50+518x^51+517x^52+560x^53+609x^54+584x^55+554x^56+544x^57+415x^58+408x^59+335x^60+332x^61+322x^62+262x^63+308x^64+340x^65+406x^66+526x^67+673x^68+718x^69+933x^70+1130x^71+1195x^72+1302x^73+1342x^74+1280x^75+1218x^76+1140x^77+984x^78+824x^79+662x^80+514x^81+415x^82+308x^83+252x^84+234x^85+294x^86+272x^87+396x^88+398x^89+459x^90+558x^91+530x^92+636x^93+571x^94+618x^95+564x^96+528x^97+451x^98+384x^99+307x^100+252x^101+201x^102+134x^103+138x^104+76x^105+57x^106+30x^107+28x^108+10x^109+11x^110+6x^111+2x^112+1x^116+1x^118

The gray image is a code over GF(2) with n=148, k=15 and d=40.
This code was found by Heurico 1.16 in 98.1 seconds.