The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+52x^39+142x^40+214x^41+357x^42+476x^43+524x^44+680x^45+868x^46+890x^47+982x^48+1122x^49+1172x^50+1242x^51+1257x^52+1180x^53+1080x^54+982x^55+860x^56+716x^57+477x^58+382x^59+286x^60+162x^61+129x^62+68x^63+37x^64+20x^65+10x^66+4x^67+5x^68+2x^69+2x^70+2x^72+1x^78

The gray image is a code over GF(2) with n=102, k=14 and d=39.
This code was found by Heurico 1.16 in 48.9 seconds.