Prime p₀= 2623551505453382741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 52 2 28 2 16 2 (?)
a_n: 0 2 30 32 66 68 96 98 150 152 180 182 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 28 34 28 52 28 16

STPT(10)	2623550789069859599	0 2 18 20 30 32 42 44 60 62	-716383523142
SPT(16)	2623551004431137351	0 30 32 36 140 162 186 198 230 242 266 288 392 396 398 428	-501022245390
TPT(14)	2623551072733961009	0 2 78 80 90 92 132 134 168 170 222 224 300 302	-432719421732
TPT(14)	2623551174405913691	0 2 30 32 36 38 78 80 90 92 168 170 186 188	-331047469050
STPT(10)	2623551213680355809	0 2 12 14 90 92 168 170 180 182	-291773026932
STPT(10)	2623551303402241517	0 2 30 32 42 44 54 56 84 86	-202051141224
SPT(16)	2623551632421264983	0 8 44 54 60 84 104 116 198 210 230 254 260 270 306 314	126967882242
SPT(16)	2623552522989775987	0 22 42 84 100 112 114 166 180 232 234 246 262 304 324 346	1017536393246
SPT(16)	2623552761741643247	0 36 132 140 182 204 222 252 284 314 332 354 396 404 500 536	1256288260506
SPT(16)	2623553631116881471	0 22 100 112 150 186 198 208 210 220 232 268 306 318 396 418	2125663498730
SPT(16)	2623553802509259173	0 8 50 60 110 120 140 164 240 264 284 294 344 354 396 404	2297055876432