Prime p₀= 2317768097779865207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 220 2 166 2 58 2 28 2 52 2 (?)
a_n: 0 2 180 182 402 404 570 572 630 632 660 662 714 716
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: 716
Found by: herby44
db: batch=81, k=14, 178 220 166 58 28 52

SPT(16)	2317766893276266469	0 10 88 108 112 114 144 160 312 328 358 360 364 384 462 472	-1204503598738
STPT(10)	2317766963469803141	0 2 6 8 18 20 30 32 36 38	-1134310062066
SPT(16)	2317767062503056509	0 24 80 98 174 228 234 258 284 308 314 368 444 462 518 542	-1035276808698
SPT(16)	2317767204607575823	0 18 40 48 60 78 100 120 166 186 208 226 238 246 268 286	-893172289384
SPT(16)	2317767855778118477	0 32 54 86 116 122 140 144 152 156 174 180 210 242 264 296	-242001746730
SPT(16)	2317767988903770313	0 16 54 66 106 124 144 150 184 190 210 228 268 280 318 334	-108876094894
STPT(10)	2317768562678981327	0 2 24 26 42 44 60 62 84 86	464899116120
STPT(10)	2317768807161454877	0 2 24 26 42 44 60 62 84 86	709381589670
STPT(10)	2317769398770847781	0 2 138 140 168 170 198 200 336 338	1300990982574
SPT(16)	2317769712814399447	0 6 42 64 76 130 154 156 190 192 216 270 282 304 340 346	1615034534240
SPT(16)	2317769801998099609	0 34 42 90 108 124 154 172 180 198 228 244 262 310 318 352	1704218234402