Prime p₀= 2170870488167126561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 60 62 96 98 126 128 138 140 156 158 180 182
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: 182
Found by: [SG-FC] hl
db: batch=81, k=14, 58 34 28 10 16 22

STPT(10)	2170869109049831129	0 2 30 32 60 62 90 92 120 122	-1379117295432
STPT(10)	2170869117876940937	0 2 30 32 42 44 54 56 84 86	-1370290185624
SPT(16)	2170869265783894469	0 30 62 78 84 92 114 162 230 278 300 308 314 330 362 392	-1222383232092
STPT(10)	2170869419466057731	0 2 36 38 78 80 120 122 156 158	-1068701068830
SPT(16)	2170869528030755143	0 54 64 124 138 168 186 196 258 268 286 316 330 390 400 454	-960136371418
SPT(16)	2170870437583694179	0 34 58 64 72 102 120 154 258 292 310 340 348 354 378 412	-50583432382
SPT(16)	2170870513059376729	0 24 82 124 160 222 234 280 282 328 340 402 438 480 538 562	24892250168
SPT(16)	2170870910930623079	0 14 38 44 48 62 114 140 222 248 300 314 318 324 348 362	422763496518
SPT(16)	2170870939759091467	0 10 24 34 36 66 84 94 102 112 130 160 162 172 186 196	451591964906
STPT(10)	2170871144594587541	0 2 108 110 138 140 168 170 276 278	656427460980
SPT(16)	2170871393748889943	0 20 48 158 174 206 216 236 348 368 378 410 426 536 564 584	905581763382