Prime p₀= 2113358626714342349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 58 2 4 2 70 2 10 2 (?)
a_n: 0 2 18 20 42 44 102 104 108 110 180 182 192 194
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: 194
Found by: Time_Traveler
db: batch=80, k=14, 16 22 58 4 70 10

SPT(16)	2113356137223393089	0 14 24 60 68 80 98 104 108 114 132 144 152 188 198 212	-2489490949260
SPT(16)	2113356473170890421	0 12 108 112 130 192 196 246 262 312 316 378 396 400 496 508	-2153543451928
SPT(16)	2113357502153404631	0 36 42 102 116 146 210 222 230 242 306 336 350 410 416 452	-1124560937718
SPT(16)	2113357753362824239	0 82 124 150 154 160 178 190 192 204 222 228 232 258 300 382	-873351518110
SPT(16)	2113358093413116299	0 18 38 68 78 110 140 158 162 180 210 242 252 282 302 320	-533301226050
SPT(16)	2113358167032703237	0 6 34 40 52 82 84 126 160 202 204 234 246 252 280 286	-459681639112
SPT(16)	2113358656428763897	0 10 24 114 124 136 156 180 256 280 300 312 322 412 426 436	29714421548
STPT(10)	2113358824613571719	0 2 18 20 30 32 42 44 60 62	197899229370
STPT(10)	2113359458357136929	0 2 18 20 60 62 102 104 120 122	831642794580
STPT(10)	2113359501920346761	0 2 6 8 48 50 90 92 96 98	875206004412
SPT(16)	2113359538514138671	0 60 66 78 136 162 226 250 378 402 466 492 550 562 568 628	911799796322