Prime p₀= 2541366696184696901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 46 2 82 2 106 2 10 2 (?)
a_n: 0 2 6 8 48 50 96 98 180 182 288 290 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 40 46 82 106 10

STPT(10)	2541365213878704947	0 2 30 32 42 44 54 56 84 86	-1482305991954
TPT(14)	2541365800466245409	0 2 18 20 60 62 180 182 198 200 228 230 252 254	-895718451492
STPT(10)	2541365837457495029	0 2 42 44 60 62 78 80 120 122	-858727201872
SPT(16)	2541366070786509137	0 44 66 72 110 162 164 174 212 222 224 276 314 320 342 386	-625398187764
SPT(16)	2541366094574695639	0 4 10 54 60 88 114 130 138 154 180 208 214 258 264 268	-601610001262
SPT(16)	2541366466472258797	0 4 16 22 36 52 60 72 94 106 114 130 144 150 162 166	-229712438104
SPT(16)	2541367096889484439	0 10 34 64 72 94 114 118 144 148 168 190 198 228 252 262	400704787538
SPT(16)	2541367125903179113	0 18 28 30 40 66 144 166 168 190 268 294 304 306 316 334	429718482212
SPT(16)	2541367327816162583	0 24 44 78 86 104 140 170 174 204 240 258 266 300 320 344	631631465682
TPT(14)	2541367728105725081	0 2 36 38 66 68 210 212 246 248 276 278 318 320	1031921028180
SPT(16)	2541368219295576613	0 60 66 70 96 138 148 196 228 276 286 328 354 358 364 424	1523110879712