Prime p₀= 2730973920794935547 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: herby44
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2730972620284846841	0 2 36 38 78 80 120 122 156 158	-1300510088706
SPT(16)	2730972872319259831	0 42 58 102 112 142 160 172 186 198 216 246 256 300 316 358	-1048475675716
SPT(16)	2730973035771964901	0 26 86 98 102 128 140 150 158 168 180 206 210 222 282 308	-885022970646
STPT(10)	2730973283356246601	0 2 30 32 78 80 126 128 156 158	-637438688946
TPT(14)	2730973729465841927	0 2 84 86 114 116 144 146 222 224 240 242 264 266	-191329093620
SPT(16)	2730973756944793027	0 12 42 72 90 94 120 132 184 196 222 226 244 274 304 316	-163850142520
STPT(10)	2730974391668106671	0 2 6 8 48 50 90 92 96 98	470873171124
SPT(16)	2730974679232364639	0 32 60 84 90 92 114 120 194 200 222 224 230 254 282 314	758437429092
SPT(16)	2730975157123810543	0 36 48 60 66 108 136 144 160 168 196 238 244 256 268 304	1236328874996
TPT(14)	2730975520475063087	0 2 72 74 204 206 354 356 414 416 480 482 510 512	1599680127540
TPT(14)	2730975999011890127	0 2 84 86 120 122 222 224 264 266 324 326 444 446	2078216954580