Prime p₀= 2623551303402241517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2623550758493266123	0 16 36 46 54 126 156 190 264 298 328 400 408 418 438 454	-544908975394
STPT(10)	2623550789069859599	0 2 18 20 30 32 42 44 60 62	-514332381918
SPT(16)	2623551004431137351	0 30 32 36 140 162 186 198 230 242 266 288 392 396 398 428	-298971104166
TPT(14)	2623551072733961009	0 2 78 80 90 92 132 134 168 170 222 224 300 302	-230668280508
TPT(14)	2623551174405913691	0 2 30 32 36 38 78 80 90 92 168 170 186 188	-128996327826
STPT(10)	2623551213680355809	0 2 12 14 90 92 168 170 180 182	-89721885708
TPT(14)	2623551505453382741	0 2 30 32 66 68 96 98 150 152 180 182 198 200	202051141224
SPT(16)	2623551632421264983	0 8 44 54 60 84 104 116 198 210 230 254 260 270 306 314	329019023466
SPT(16)	2623552522989775987	0 22 42 84 100 112 114 166 180 232 234 246 262 304 324 346	1219587534470
SPT(16)	2623552761741643247	0 36 132 140 182 204 222 252 284 314 332 354 396 404 500 536	1458339401730
SPT(16)	2623553631116881471	0 22 100 112 150 186 198 208 210 220 232 268 306 318 396 418	2327714639954