Prime p₀= 2725716623949330677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2725715317504831823	0 6 20 48 54 96 120 140 174 194 218 260 266 294 308 314	-1306444498854
SPT(16)	2725715347927912933	0 10 76 88 124 160 180 186 328 334 354 390 426 438 504 514	-1276021417744
STPT(10)	2725716006040070891	0 2 126 128 168 170 210 212 336 338	-617909259786
SPT(16)	2725716053956864043	0 18 60 78 98 140 144 188 216 260 264 306 326 344 386 404	-569992466634
SPT(16)	2725716058277084539	0 72 84 118 132 148 190 210 232 252 294 310 324 358 370 442	-565672246138
SPT(16)	2725716255748340297	0 50 72 86 102 120 132 146 156 170 182 200 216 230 252 302	-368200990380
SPT(16)	2725717309670066851	0 46 60 66 88 118 156 166 270 280 318 348 370 376 390 436	685720736174
SPT(16)	2725718038784050333	0 4 58 60 70 108 126 148 156 178 196 234 244 246 300 304	1414834719656
SPT(16)	2725718146208554457	0 32 56 80 116 146 192 234 242 284 330 360 396 420 444 476	1522259223780
SPT(16)	2725718149019198843	0 20 30 60 66 146 170 248 258 336 360 440 446 476 486 506	1525069868166
STPT(10)	2725718235896918201	0 2 36 38 78 80 120 122 156 158	1611947587524