Prime p₀= 2398469476778801681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 22 2 34 2 232 2 (?)
a_n: 0 2 36 38 48 50 66 68 90 92 126 128 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 34 10 16 22 34 232

STPT(10)	2398467838370930267	0 2 30 32 42 44 54 56 84 86	-1638407871414
SPT(16)	2398468124048550919	0 72 78 114 144 154 172 184 198 210 228 238 268 304 310 382	-1352730250762
SPT(16)	2398468137487062923	0 50 66 80 86 126 146 170 210 234 254 294 300 314 330 380	-1339291738758
SPT(16)	2398468526951629357	0 4 16 42 46 60 64 82 84 102 106 120 124 150 162 166	-949827172324
SPT(16)	2398468765581950183	0 6 36 66 78 104 108 126 128 146 150 176 188 218 248 254	-711196851498
STPT(10)	2398469305140481169	0 2 18 20 60 62 102 104 120 122	-171638320512
STPT(10)	2398469843023249781	0 2 30 32 60 62 90 92 120 122	366244448100
STPT(10)	2398469912017599359	0 2 18 20 30 32 42 44 60 62	435238797678
STPT(12)	2398469925153778967	0 2 30 32 84 86 150 152 204 206 234 236	448374977286
STPT(12)	2398470005302448897	0 2 42 44 54 56 150 152 162 164 204 206	528523647216
SPT(16)	2398470067236148441	0 30 42 46 48 100 222 258 280 316 438 490 492 496 508 538	590457346760