Prime p₀= 2906957378183655257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2906955942814421621	0 2 30 56 78 96 110 198 200 288 302 320 342 368 396 398	-1435369233636
STPT(10)	2906956037084294519	0 2 18 20 30 32 42 44 60 62	-1341099360738
STPT(10)	2906956205796885761	0 2 30 32 78 80 126 128 156 158	-1172386769496
SPT(16)	2906956437690941599	0 12 28 54 60 108 138 148 234 244 274 322 328 354 370 382	-940492713658
SPT(16)	2906957096310637919	0 20 38 104 152 174 234 240 332 338 398 420 468 534 552 572	-281873017338
SPT(16)	2906957188143013177	0 6 22 60 90 120 132 154 162 184 196 226 256 294 310 316	-190040642080
SPT(16)	2906957412964629833	0 14 26 56 86 96 230 260 264 294 428 438 468 498 510 524	34780974576
STPT(10)	2906957743867801319	0 2 48 50 90 92 132 134 180 182	365684146062
TPT(14)	2906957812044678809	0 2 18 20 60 62 102 104 138 140 198 200 222 224	433861023552
SPT(16)	2906958030535428659	0 14 102 152 168 194 210 212 240 242 258 284 300 350 438 452	652351773402
STPT(10)	2906958043898814461	0 2 6 8 48 50 90 92 96 98	665715159204