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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+40x^40+18x^41+75x^42+54x^43+132x^44+148x^45+235x^46+242x^47+345x^48+384x^49+452x^50+578x^51+502x^52+670x^53+587x^54+704x^55+670x^56+758x^57+709x^58+798x^59+812x^60+894x^61+1050x^62+1060x^63+1199x^64+1188x^65+1323x^66+1344x^67+1428x^68+1230x^69+1251x^70+1074x^71+1055x^72+960x^73+799x^74+712x^75+641x^76+720x^77+681x^78+758x^79+613x^80+680x^81+551x^82+562x^83+462x^84+408x^85+312x^86+250x^87+201x^88+108x^89+127x^90+48x^91+65x^92+26x^93+28x^94+8x^95+20x^96+12x^98+6x^100

The gray image is a code over GF(2) with n=134, k=15 and d=40.
This code was found by Heurico 1.16 in 99.2 seconds.