The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  0  1  1  1  7  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16  1 26 36 31  1  4  0 38 40 48  7
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 28 28 21  7  7 21 21 42 42 28 21
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 28 35 35 35 21  0  7 42 35 35 14

generates a code of length 29 over Z49 who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+204x^154+168x^156+504x^157+378x^158+480x^161+3024x^163+3780x^164+1806x^165+408x^168+18144x^170+15624x^171+5544x^172+408x^175+36288x^177+23310x^178+6678x^179+396x^182+288x^189+174x^196+42x^203

The gray image is a code over GF(7) with n=203, k=6 and d=154.
This code was found by Heurico 1.16 in 2.18 seconds.