Prime p₀= 950522321019555197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 4 2 40 2 106 2 28 2 (?)
a_n: 0 2 12 14 84 86 90 92 132 134 240 242 270 272
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: 272
Found by: Theadalus
db: batch=76, k=14, 10 70 4 40 106 28

SPT(16)	950521159270502059	0 28 42 52 78 88 118 120 142 144 174 184 210 220 234 262	-1161749053138
TPT(14)	950521393138387121	0 2 30 32 120 122 126 128 186 188 198 200 216 218	-927881168076
STPT(10)	950521393976973821	0 2 36 38 78 80 120 122 156 158	-927042581376
STPT(10)	950521397674407701	0 2 6 8 18 20 30 32 36 38	-923345147496
SPT(16)	950521411063779161	0 6 62 66 132 158 182 192 266 276 300 326 392 396 452 458	-909955776036
STPT(10)	950522300618691221	0 2 36 38 78 80 120 122 156 158	-20400863976
TPT(14)	950522383397495099	0 2 42 44 48 50 72 74 78 80 90 92 300 302	62377939902
STPT(10)	950522434655901407	0 2 24 26 42 44 60 62 84 86	113636346210
SPT(16)	950522442276296303	0 18 38 66 78 110 140 144 200 204 234 266 278 306 326 344	121256741106
SPT(16)	950522546781206813	0 14 66 68 96 98 126 200 204 278 306 308 336 338 390 404	225761651616
SPT(16)	950522601281486501	0 8 20 32 38 66 98 126 182 210 242 270 276 288 300 308	280261931304