Prime p₀= 2436856321117322561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 88 2 4 2 22 2 46 2 (?)
a_n: 0 2 90 92 120 122 210 212 216 218 240 242 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 88 28 88 4 22 46

STPT(10)	2436854940670530431	0 2 30 32 120 122 210 212 240 242	-1380446792130
TPT(14)	2436854970095320301	0 2 90 92 126 128 198 200 228 230 270 272 456 458	-1351022002260
SPT(16)	2436855131558677507	0 10 30 34 60 132 142 174 262 294 304 376 402 406 426 436	-1189558645054
SPT(16)	2436855192724863619	0 30 34 52 70 90 114 130 132 148 172 192 210 228 232 262	-1128392458942
SPT(16)	2436855383206513609	0 40 90 132 138 142 148 204 208 264 270 274 280 322 372 412	-937910808952
STPT(10)	2436856269966838787	0 2 12 14 72 74 132 134 144 146	-51150483774
STPT(10)	2436856518122041787	0 2 30 32 72 74 114 116 144 146	197004719226
STPT(10)	2436856651551373937	0 2 54 56 72 74 90 92 144 146	330434051376
SPT(16)	2436857500054827251	0 20 42 50 56 72 98 162 176 240 266 282 288 296 318 338	1178937504690
STPT(10)	2436857903740596701	0 2 30 32 78 80 126 128 156 158	1582623274140
SPT(16)	2436858004302659137	0 6 70 84 126 142 160 162 244 246 264 280 322 336 400 406	1683185336576