The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+70x^40+44x^41+80x^42+76x^43+158x^44+190x^45+294x^46+290x^47+404x^48+464x^49+501x^50+646x^51+551x^52+814x^53+675x^54+906x^55+795x^56+876x^57+846x^58+956x^59+1024x^60+1070x^61+1336x^62+1212x^63+1442x^64+1304x^65+1448x^66+1220x^67+1353x^68+1058x^69+1090x^70+914x^71+819x^72+974x^73+727x^74+846x^75+682x^76+766x^77+592x^78+718x^79+503x^80+428x^81+426x^82+314x^83+267x^84+164x^85+135x^86+88x^87+92x^88+38x^89+35x^90+6x^91+28x^92+2x^93+6x^94+2x^96+1x^98+1x^100

The gray image is a code over GF(2) with n=130, k=15 and d=40.
This code was found by Heurico 1.16 in 97.7 seconds.