Prime p₀= 2565160907914993187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 22 2 16 2 70 2 64 2 52 2 (?)
a_n: 0 2 90 92 114 116 132 134 204 206 270 272 324 326
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: 326
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 88 22 16 70 64 52

STPT(10)	2565158955219031607	0 2 42 44 72 74 102 104 144 146	-1952695961580
STPT(10)	2565159131520081791	0 2 30 32 60 62 90 92 120 122	-1776394911396
STPT(10)	2565159430462175621	0 2 6 8 48 50 90 92 96 98	-1477452817566
SPT(16)	2565159880255918811	0 8 20 38 42 68 90 92 138 140 162 188 192 210 222 230	-1027659074376
STPT(10)	2565159979216547927	0 2 30 32 42 44 54 56 84 86	-928698445260
SPT(16)	2565160200438047371	0 42 76 78 82 108 118 130 168 180 190 216 220 222 256 298	-707476945816
STPT(10)	2565161188439295581	0 2 36 38 78 80 120 122 156 158	280524302394
STPT(10)	2565161195305998431	0 2 6 8 18 20 30 32 36 38	287391005244
SPT(16)	2565161626590284387	0 32 66 84 164 200 206 222 224 240 246 282 362 380 414 446	718675291200
SPT(16)	2565161917718976497	0 6 42 74 96 104 110 116 120 126 132 140 162 194 230 236	1009803983310
SPT(16)	2565161929245905377	0 12 22 24 42 66 124 142 204 222 280 304 322 324 334 346	1021330912190