Prime p₀= 2177830174703216849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 10 2 64 2 10 2 28 2 (?)
a_n: 0 2 30 32 90 92 102 104 168 170 180 182 210 212
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: [SG-FC] hl
db: batch=81, k=14, 28 58 10 64 10 28

STPT(10)	2177829074091424799	0 2 12 14 90 92 168 170 180 182	-1100611792050
SPT(16)	2177829523642085371	0 10 42 60 76 112 126 142 270 286 300 336 352 370 402 412	-651061131478
SPT(16)	2177829557473363187	0 32 36 42 114 116 140 144 182 186 210 212 284 290 294 326	-617229853662
SPT(16)	2177829679604361787	0 6 12 16 36 70 72 90 112 130 132 166 186 190 196 202	-495098855062
SPT(16)	2177829894646841971	0 16 18 22 28 46 70 82 186 198 222 240 246 250 252 268	-280056374878
SPT(16)	2177830166290936291	0 12 16 28 40 82 88 96 142 150 156 198 210 222 226 238	-8412280558
STPT(10)	2177830326122486207	0 2 30 32 42 44 54 56 84 86	151419269358
STPT(10)	2177830457770409051	0 2 30 32 78 80 126 128 156 158	283067192202
STPT(10)	2177830476110513039	0 2 12 14 30 32 48 50 60 62	301407296190
STPT(10)	2177830866670456901	0 2 36 38 78 80 120 122 156 158	691967240052
STPT(10)	2177830876118607497	0 2 60 62 72 74 84 86 144 146	701415390648