Prime p₀= 2420750781406435781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 106 2 10 2 10 2 58 2 (?)
a_n: 0 2 30 32 78 80 186 188 198 200 210 212 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 28 46 106 10 10 58

STPT(10)	2420748860919624407	0 2 12 14 42 44 72 74 84 86	-1920486811374
TPT(14)	2420748892945311947	0 2 12 14 30 32 42 44 54 56 102 104 144 146	-1888461123834
SPT(16)	2420749542120843937	0 34 42 54 72 100 154 190 216 252 306 334 352 364 372 406	-1239285591844
SPT(16)	2420749860194815229	0 2 12 14 42 72 104 110 114 120 152 182 210 212 222 224	-921211620552
SPT(16)	2420750202632942239	0 24 90 142 168 184 210 264 388 442 468 484 510 562 628 652	-578773493542
STPT(10)	2420750753959418927	0 2 54 56 72 74 90 92 144 146	-27447016854
SPT(16)	2420751038333268203	0 6 80 114 156 188 194 198 206 210 216 248 290 324 398 404	256926832422
STPT(10)	2420751291094365569	0 2 18 20 30 32 42 44 60 62	509687929788
STPT(10)	2420751399537018599	0 2 42 44 60 62 78 80 120 122	618130582818
SPT(16)	2420751519748397557	0 12 22 60 66 96 124 166 210 252 280 310 316 354 364 376	738341961776
SPT(16)	2420751593967566527	0 6 126 150 154 156 166 180 196 210 220 222 226 250 370 376	812561130746