The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+48x^44+52x^45+75x^46+116x^47+75x^48+84x^49+89x^50+76x^51+55x^52+60x^53+52x^54+36x^55+53x^56+44x^57+24x^58+20x^59+21x^60+16x^61+12x^62+8x^63+3x^64+2x^66+1x^70+1x^74

The gray image is a code over GF(2) with n=102, k=10 and d=44.
This code was found by Heurico 1.16 in 0.126 seconds.