The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+41x^40+30x^41+67x^42+64x^43+143x^44+150x^45+188x^46+212x^47+359x^48+408x^49+448x^50+572x^51+522x^52+616x^53+582x^54+634x^55+556x^56+654x^57+643x^58+608x^59+581x^60+612x^61+677x^62+792x^63+870x^64+1026x^65+1136x^66+1196x^67+1363x^68+1198x^69+1301x^70+1258x^71+1188x^72+1054x^73+928x^74+726x^75+729x^76+622x^77+599x^78+564x^79+572x^80+702x^81+563x^82+672x^83+541x^84+614x^85+535x^86+536x^87+445x^88+354x^89+352x^90+286x^91+202x^92+124x^93+144x^94+68x^95+62x^96+28x^97+21x^98+4x^99+14x^100+6x^102+2x^104+2x^106+1x^108

The gray image is a code over GF(2) with n=138, k=15 and d=40.
This code was found by Heurico 1.16 in 99 seconds.