The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+37x^40+14x^41+96x^42+116x^43+190x^44+196x^45+216x^46+254x^47+233x^48+262x^49+293x^50+316x^51+246x^52+340x^53+229x^54+256x^55+193x^56+182x^57+146x^58+80x^59+90x^60+24x^61+34x^62+2x^63+30x^64+6x^65+9x^66+2x^68+1x^70+2x^72

The gray image is a code over GF(2) with n=102, k=12 and d=40.
This code was found by Heurico 1.16 in 1.82 seconds.