The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  0  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 26 26 48  5 31  4  0  1 36  7
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 28 28 21 42  7 21 21 35 21 35
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35  7 21 35  0  0 42  7 35  7

generates a code of length 28 over Z49 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+120x^147+252x^150+168x^151+756x^153+456x^154+4536x^157+1260x^158+2142x^160+480x^161+27216x^164+5208x^165+5796x^167+468x^168+54432x^171+7770x^172+5712x^174+294x^175+294x^182+258x^189+30x^196

The gray image is a code over GF(7) with n=196, k=6 and d=147.
This code was found by Heurico 1.16 in 2.12 seconds.