Prime p₀= 1021875776411538821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 16 2 100 2 34 2 10 2 (?)
a_n: 0 2 66 68 90 92 108 110 210 212 246 248 258 260
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: 260
Found by: Theadalus
db: batch=76, k=14, 64 22 16 100 34 10

STPT(10)	1021874443160624111	0 2 36 38 78 80 120 122 156 158	-1333250914710
STPT(10)	1021874937843530801	0 2 30 32 60 62 90 92 120 122	-838568008020
SPT(16)	1021875044300788663	0 10 24 30 40 160 174 196 198 220 234 354 364 370 384 394	-732110750158
TPT(14)	1021875263404996769	0 2 30 32 168 170 192 194 222 224 378 380 390 392	-513006542052
STPT(10)	1021875389170613051	0 2 6 8 48 50 90 92 96 98	-387240925770
STPT(10)	1021875510204308099	0 2 18 20 30 32 42 44 60 62	-266207230722
SPT(16)	1021876196436259477	0 34 46 96 124 154 186 192 274 280 312 342 370 420 432 466	420024720656
SPT(16)	1021876217705803297	0 4 36 84 90 94 172 190 216 234 312 316 322 370 402 406	441294264476
STPT(10)	1021876945043912927	0 2 30 32 72 74 114 116 144 146	1168632374106
STPT(10)	1021877023642875221	0 2 6 8 48 50 90 92 96 98	1247231336400
SPT(16)	1021877207364291661	0 42 76 78 82 120 132 162 166 196 208 246 250 252 286 328	1430952752840