Prime p₀= 3006048156427987997 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3006046514039684189	0 42 44 48 132 158 218 230 282 294 354 380 464 468 470 512	-1642388303808
STPT(10)	3006046857191889491	0 2 36 38 78 80 120 122 156 158	-1299236098506
STPT(10)	3006046887301666667	0 2 30 32 42 44 54 56 84 86	-1269126321330
SPT(16)	3006047445752716117	0 4 96 106 112 180 186 240 256 310 316 384 390 400 492 496	-710675271880
SPT(16)	3006047804681649011	0 18 20 48 86 128 140 170 186 216 228 270 308 336 338 356	-351746338986
SPT(16)	3006047937242866897	0 24 40 82 150 220 222 234 352 364 366 436 504 546 562 586	-219185121100
SPT(16)	3006048162301374457	0 4 40 54 72 102 120 180 196 256 274 304 322 336 372 376	5873386460
SPT(16)	3006048637183606429	0 10 18 24 30 60 88 100 162 174 202 232 238 244 252 262	480755618432
SPT(16)	3006048804526450079	0 68 152 182 204 218 242 258 404 420 444 458 480 510 594 662	648098462082
TPT(14)	3006048813886414187	0 2 12 14 24 26 132 134 204 206 474 476 612 614	657458426190
SPT(16)	3006049123127911481	0 18 56 60 62 92 98 126 152 180 186 216 218 222 260 278	966699923484