Prime p₀= 1270492101546435809 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1270490400573173671	0 16 22 30 78 90 126 168 190 232 268 280 328 336 342 358	-1700973262138
TPT(14)	1270490764359367247	0 2 30 32 72 74 114 116 132 134 210 212 300 302	-1337187068562
STPT(10)	1270490803156897547	0 2 30 32 42 44 54 56 84 86	-1298389538262
SPT(16)	1270491636216759287	0 50 62 116 140 162 206 216 470 480 524 546 570 624 636 686	-465329676522
SPT(16)	1270491782040126577	0 12 94 96 114 150 172 180 196 204 226 262 280 282 364 376	-319506309232
STPT(10)	1270492043269911767	0 2 30 32 42 44 54 56 84 86	-58276524042
SPT(16)	1270492868559784229	0 8 38 62 132 138 180 194 318 332 374 380 450 474 504 512	767013348420
SPT(16)	1270492888433906897	0 42 56 104 174 212 236 356 390 510 534 572 642 690 704 746	786887471088
TPT(14)	1270492949211887507	0 2 12 14 54 56 84 86 474 476 504 506 540 542	847665451698
SPT(16)	1270493002016581351	0 16 40 42 46 52 60 112 126 178 186 192 196 198 222 238	900470145542
TPT(14)	1270493057329538969	0 2 78 80 90 92 108 110 120 122 258 260 348 350	955783103160