Prime p₀= 2420781199944879617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 70 2 58 2 136 2 70 2 (?)
a_n: 0 2 84 86 150 152 222 224 282 284 420 422 492 494
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: 494
Found by: JayPi
db: batch=82, k=14, 82 64 70 58 136 70

SPT(16)	2420779445278269301	0 18 88 118 120 168 198 256 270 328 358 406 408 438 508 526	-1754666610316
STPT(10)	2420779728119159777	0 2 30 32 42 44 54 56 84 86	-1471825719840
SPT(16)	2420780252433833359	0 10 18 84 102 112 142 150 172 180 210 220 238 304 312 322	-947511046258
TPT(14)	2420780353473263267	0 2 54 56 90 92 132 134 204 206 234 236 300 302	-846471616350
SPT(16)	2420780372113206529	0 4 10 12 28 34 52 54 88 90 108 114 130 132 138 142	-827831673088
STPT(10)	2420781047898316799	0 2 48 50 90 92 132 134 180 182	-152046562818
STPT(10)	2420781359608679339	0 2 18 20 30 32 42 44 60 62	159663799722
SPT(16)	2420781450163023091	0 36 42 46 60 112 160 190 312 342 390 442 456 460 466 502	250218143474
STPT(10)	2420781515566299461	0 2 36 38 78 80 120 122 156 158	315621419844
STPT(12)	2420781847994206679	0 2 78 80 138 140 162 164 222 224 300 302	648049327062
SPT(16)	2420782009763735461	0 18 22 70 76 90 106 160 198 252 268 282 288 336 340 358	809818855844