The generator matrix

 1  0  0  1  1  1  1  1  1  1  7  1 21  1  1  1  1  1  1  1  1  1  1  1  1 28  1  1
 0  1  0 36 31 16  7 29 38  9  1 21  1 17  1 20 23 18 34 48 35 10  8 19 47  1 26 35
 0  0  1  5 31 34 27 38 35 19  5 26 31  4  8  6 24 22 43 14 45 23 21 47 48  1  1  1

generates a code of length 28 over Z49 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+336x^153+36x^154+336x^156+1260x^157+3780x^158+6720x^159+2772x^160+96x^161+588x^162+4032x^163+6300x^164+10080x^165+10080x^166+4032x^167+90x^168+3528x^169+12096x^170+13020x^171+17010x^172+16128x^173+5208x^174+60x^175+48x^182+12x^189

The gray image is a code over GF(7) with n=196, k=6 and d=153.
This code was found by Heurico 1.16 in 1.95 seconds.