Prime p₀= 2338473144450880637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 34 2 52 2 34 2 (?)
a_n: 0 2 12 14 30 32 54 56 90 92 144 146 180 182
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: 182
Found by: Landjunge
db: batch=81, k=14, 10 16 22 34 52 34

SPT(16)	2338471410876268103	0 14 66 74 116 120 140 174 176 210 230 234 276 284 336 350	-1733574612534
SPT(16)	2338471418458217321	0 2 38 80 96 110 126 138 140 152 168 182 198 240 276 278	-1725992663316
SPT(16)	2338471448402323489	0 12 30 72 112 120 138 208 222 292 310 318 358 400 418 430	-1696048557148
SPT(16)	2338471599849737057	0 2 6 12 14 32 54 56 60 62 84 102 104 110 114 116	-1544601143580
SPT(16)	2338472721379928929	0 24 48 64 70 120 160 168 214 222 262 312 318 334 358 382	-423070951708
SPT(16)	2338472893988400979	0 12 28 54 108 112 154 190 192 228 270 274 328 354 370 382	-250462479658
STPT(10)	2338473254641138169	0 2 42 44 60 62 78 80 120 122	110190257532
SPT(16)	2338473290631350581	0 10 46 48 60 66 90 106 132 148 172 178 190 192 228 238	146180469944
SPT(16)	2338473298643098129	0 34 52 88 102 144 148 154 168 174 178 220 234 270 288 322	154192217492
SPT(16)	2338473578223775721	0 66 92 102 122 158 182 186 392 396 420 456 476 486 512 578	433772895084
SPT(16)	2338473721298831353	0 34 48 58 70 84 150 160 174 184 250 264 276 286 300 334	576847950716