Prime p₀= 1246848817482262661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 40 2 64 2 22 2 (?)
a_n: 0 2 18 20 36 38 78 80 120 122 186 188 210 212
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: 212
Found by: Cruncher Pete
db: batch=77, k=14, 16 16 40 40 64 22

STPT(10)	1246847609610245471	0 2 6 8 48 50 90 92 96 98	-1207872017190
TPT(14)	1246847668626208487	0 2 24 26 114 116 144 146 150 152 192 194 222 224	-1148856054174
STPT(10)	1246847962344565307	0 2 24 26 42 44 60 62 84 86	-855137697354
STPT(10)	1246847976652586879	0 2 18 20 30 32 42 44 60 62	-840829675782
STPT(10)	1246848008214495917	0 2 24 26 42 44 60 62 84 86	-809267766744
STPT(10)	1246848657175704767	0 2 30 32 60 62 90 92 120 122	-160306557894
SPT(16)	1246849118688621653	0 14 60 126 170 176 234 240 254 260 318 324 368 434 480 494	301206358992
SPT(16)	1246849121116556339	0 2 12 44 74 78 92 128 144 180 194 198 228 260 270 272	303634293678
SPT(16)	1246849183492896787	0 40 66 82 100 202 214 216 220 222 234 336 354 370 396 436	366010634126
STPT(10)	1246849314532474529	0 2 30 32 60 62 90 92 120 122	497050211868
STPT(10)	1246849564077411641	0 2 6 8 48 50 90 92 96 98	746595148980