Prime p₀= 120629200924823483 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 54 8 22 66 2 10 2 66 22 8 54 6 (?)
a_n: 0 6 60 68 90 156 158 168 170 236 258 266 320 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: Vit Kliber
db: batch=67, k=14, 6 54 8 22 66 2 10

SPT(14)	120629147999254001	0 20 66 78 86 90 116 132 158 162 170 182 228 248	-52925569482
SPT(14)	120629153150639149	0 4 24 60 108 154 190 198 234 280 328 364 384 388	-47774184334
TPT(12)	120629157299472797	0 2 120 122 150 152 222 224 390 392 414 416	-43625350686
SPT(14)	120629165291878931	0 32 48 56 72 80 90 98 108 116 132 140 156 188	-35632944552
SPT(14)	120629166599725759	0 40 72 78 84 100 114 118 132 148 154 160 192 232	-34325097724
TPT(12)	120629190244428137	0 2 30 32 42 44 84 86 150 152 240 242	-10680395346
SPT(14)	120629234129151203	0 36 54 66 68 78 80 84 86 96 98 110 128 164	33204327720
STPT(10)	120629235859023509	0 2 48 50 60 62 72 74 120 122	34934200026
TPT(12)	120629273743117439	0 2 42 44 60 62 102 104 180 182 240 242	72818293956
SPT(14)	120629280111623237	0 12 26 66 86 114 152 234 272 300 320 360 374 386	79186799754
SPT(14)	120629303773141159	0 34 40 72 112 124 154 168 198 210 250 282 288 322	102848317676