The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+12x^37+92x^38+176x^39+326x^40+502x^41+640x^42+844x^43+1061x^44+1288x^45+1485x^46+1840x^47+2089x^48+2248x^49+2394x^50+2442x^51+2488x^52+2366x^53+2140x^54+1922x^55+1728x^56+1342x^57+1021x^58+792x^59+530x^60+364x^61+265x^62+156x^63+88x^64+68x^65+24x^66+18x^67+8x^68+2x^69+2x^70+2x^71+1x^74+1x^76

The gray image is a code over GF(2) with n=102, k=15 and d=37.
This code was found by Heurico 1.16 in 93.4 seconds.