Prime p₀= 2677749732496762661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: JayPi
db: batch=82, k=10, 2 46 2 58 2

SPT(16)	2677748779281870887	0 32 36 62 80 104 120 132 134 146 162 186 204 230 234 266	-953214891774
STPT(10)	2677748887780387451	0 2 30 32 60 62 90 92 120 122	-844716375210
SPT(16)	2677749054743625131	0 26 66 150 162 216 222 272 366 416 422 476 488 572 612 638	-677753137530
SPT(22)	2677749213504270107	0 54 102 104 114 180 210 242 252 356 366 380 390 494 504 536 566 632 642 644 692 746	-518992492554
SPT(16)	2677749594987933623	0 20 24 36 44 50 56 66 188 198 204 210 218 230 234 254	-137508829038
SPT(16)	2677749634934925701	0 36 90 140 146 206 230 248 258 276 300 360 366 416 470 506	-97561836960
STPT(10)	2677749931902079301	0 2 36 38 78 80 120 122 156 158	199405316640
SPT(16)	2677749974065641509	0 72 84 110 144 152 170 180 212 222 240 248 282 308 320 392	241568878848
SPT(16)	2677750257022242791	0 2 48 56 90 126 158 210 218 270 302 338 372 380 426 428	524525480130
STPT(10)	2677750526230797047	0 2 30 32 60 62 90 92 120 122	793734034386
SPT(16)	2677750622178000293	0 14 44 84 86 126 194 198 236 240 308 348 350 390 420 434	889681237632