Prime p₀= 2623715116347153779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: fzs600
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2623713089607513749	0 2 18 20 30 32 42 44 60 62	-2026739640030
SPT(16)	2623713190081332917	0 2 24 36 42 66 80 86 120 126 140 164 170 182 204 206	-1926265820862
SPT(16)	2623713219051722443	0 70 78 84 88 196 198 240 244 286 288 396 400 406 414 484	-1897295431336
SPT(18)	2623713293246989843	0 16 18 30 60 78 100 118 148 168 198 216 238 256 286 298 300 316	-1823100163936
SPT(16)	2623713404347237183	0 60 64 66 90 126 144 154 210 220 238 274 298 300 304 364	-1711999916596
SPT(16)	2623713857811398269	0 10 52 54 102 112 154 264 268 378 420 430 478 480 522 532	-1258535755510
SPT(16)	2623715132019020357	0 6 44 84 152 156 182 216 230 264 290 294 362 402 440 446	15671866578
SPT(16)	2623715607117782707	0 6 54 70 96 124 126 132 154 160 162 190 216 232 280 286	490770628928
SPT(16)	2623715840921437303	0 40 46 90 114 126 166 184 210 228 268 280 304 348 354 394	724574283524
STPT(10)	2623716007463448179	0 2 18 20 60 62 102 104 120 122	891116294400
SPT(16)	2623716351713511163	0 28 36 46 70 90 130 148 228 246 286 306 330 340 348 376	1235366357384