The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+26x^40+28x^41+67x^42+74x^43+149x^44+114x^45+238x^46+250x^47+327x^48+420x^49+454x^50+532x^51+544x^52+652x^53+647x^54+758x^55+839x^56+806x^57+875x^58+866x^59+854x^60+1020x^61+1146x^62+1300x^63+1326x^64+1400x^65+1331x^66+1324x^67+1335x^68+1276x^69+1163x^70+1050x^71+1008x^72+890x^73+905x^74+830x^75+701x^76+728x^77+605x^78+648x^79+571x^80+552x^81+458x^82+408x^83+356x^84+236x^85+214x^86+120x^87+123x^88+64x^89+69x^90+30x^91+28x^92+6x^93+19x^94+2x^95+3x^96+1x^98+1x^100

The gray image is a code over GF(2) with n=132, k=15 and d=40.
This code was found by Heurico 1.16 in 98.7 seconds.