Prime p₀= 2861120049206807567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 70 2 4 2 28 2 28 2 10 2 (?)
a_n: 0 2 102 104 174 176 180 182 210 212 240 242 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 100 70 4 28 28 10

SPT(16)	2861118725127525413	0 18 36 56 74 84 96 108 176 188 200 210 228 248 266 284	-1324079282154
SPT(16)	2861118796750541839	0 4 24 40 54 150 154 220 222 288 292 388 402 418 438 442	-1252456265728
STPT(10)	2861118994656580919	0 2 18 20 30 32 42 44 60 62	-1054550226648
SPT(18)	2861119629262678411	0 28 36 52 66 96 102 130 132 166 168 196 202 232 246 262 270 298	-419944129156
STPT(10)	2861119919168894429	0 2 48 50 90 92 132 134 180 182	-130037913138
SPT(16)	2861119931736311909	0 48 180 198 234 264 278 300 398 420 434 464 500 518 650 698	-117470495658
STPT(10)	2861120087702441837	0 2 30 32 42 44 54 56 84 86	38495634270
STPT(10)	2861120300980939937	0 2 30 32 60 62 90 92 120 122	251774132370
SPT(16)	2861120369381389883	0 8 26 78 108 120 138 146 210 218 236 248 278 330 348 356	320174582316
SPT(16)	2861120491487684329	0 4 100 102 138 150 168 172 330 334 352 364 400 402 498 502	442280876762
STPT(10)	2861120788296647057	0 2 30 32 42 44 54 56 84 86	739089839490