The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^44+60x^45+83x^46+110x^47+88x^48+74x^49+99x^50+88x^51+41x^52+64x^53+65x^54+38x^55+36x^56+30x^57+27x^58+12x^59+19x^60+24x^61+12x^62+8x^63+7x^64+4x^65+2x^66+1x^68

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 0.117 seconds.