The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^44+68x^45+62x^46+118x^47+94x^48+72x^49+70x^50+58x^51+67x^52+50x^53+46x^54+42x^55+51x^56+54x^57+26x^58+38x^59+19x^60+10x^61+12x^62+2x^64+2x^65+8x^66

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 0.112 seconds.