Prime p₀= 2915282570116972577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 4 2 40 2 10 2 28 2 (?)
a_n: 0 2 30 32 84 86 90 92 132 134 144 146 174 176
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: 176
Found by: [SG-FC] hl
db: batch=82, k=14, 28 52 4 40 10 28

SPT(16)	2915280823977316159	0 10 18 40 58 70 78 100 192 214 222 234 252 274 282 292	-1746139656418
TPT(14)	2915281025511321161	0 2 30 32 60 62 120 122 126 128 156 158 210 212	-1544605651416
SPT(16)	2915281308114362903	0 30 36 66 80 84 108 126 158 176 200 204 218 248 254 284	-1262002609674
SPT(16)	2915281424456671187	0 12 14 42 54 74 126 144 152 170 222 242 254 282 284 296	-1145660301390
SPT(16)	2915281431622073113	0 10 28 64 178 210 270 276 298 304 364 396 510 546 564 574	-1138494899464
SPT(16)	2915282203280466179	0 18 42 80 138 158 194 198 224 228 264 284 342 380 404 422	-366836506398
TPT(14)	2915282583583355441	0 2 30 32 96 98 108 110 120 122 198 200 210 212	13466382864
SPT(16)	2915282747964163069	0 10 12 22 28 52 72 82 138 148 168 192 198 208 210 220	177847190492
SPT(16)	2915283070796503027	0 10 12 22 60 82 112 126 130 144 174 196 234 244 246 256	500679530450
STPT(10)	2915283423364609391	0 2 6 8 48 50 90 92 96 98	853247636814
TPT(14)	2915283656113753259	0 2 12 14 18 20 30 32 102 104 168 170 210 212	1085996780682