Prime p₀= 2577525373228946627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2577524007244661533	0 6 16 34 48 64 78 106 168 196 210 226 240 258 268 274	-1365984285094
TPT(14)	2577524306955064001	0 2 6 8 78 80 108 110 120 122 150 152 216 218	-1066273882626
SPT(16)	2577524315331156649	0 30 112 138 160 162 178 220 222 264 280 282 304 330 412 442	-1057897789978
STPT(10)	2577524939394886301	0 2 6 8 18 20 30 32 36 38	-433834060326
SPT(16)	2577525134816766521	0 36 50 60 66 80 186 192 200 206 312 326 332 342 356 392	-238412180106
SPT(16)	2577525359871892939	0 42 70 94 124 130 138 192 280 334 342 348 378 402 430 472	-13357053688
SPT(16)	2577525515292398351	0 20 36 80 146 168 170 198 218 246 248 270 336 380 396 416	142063451724
SPT(16)	2577525612080155339	0 54 102 120 144 172 192 204 280 292 312 340 364 382 430 484	238851208712
STPT(10)	2577525662492494001	0 2 36 38 78 80 120 122 156 158	289263547374
SPT(16)	2577526015364893907	0 32 44 54 110 122 234 240 266 272 384 396 452 462 474 506	642135947280
STPT(10)	2577526186789826939	0 2 42 44 60 62 78 80 120 122	813560880312