Prime p₀= 1324449025673393531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1324447670259380207	0 30 36 66 72 90 92 140 156 204 206 224 230 260 266 296	-1355414013324
TPT(14)	1324447975953382517	0 2 30 32 72 74 264 266 354 356 402 404 420 422	-1049720011014
SPT(16)	1324448317445515399	0 34 88 102 114 124 168 202 210 244 288 298 310 324 378 412	-708227878132
STPT(10)	1324448670001509707	0 2 30 32 72 74 114 116 144 146	-355671883824
STPT(10)	1324449014433808139	0 2 30 32 60 62 90 92 120 122	-11239585392
STPT(10)	1324449021616779941	0 2 36 38 78 80 120 122 156 158	-4056613590
SPT(16)	1324449063982734601	0 10 16 30 36 42 66 88 90 112 136 142 148 162 168 178	38309341070
STPT(10)	1324449099376360427	0 2 30 32 42 44 54 56 84 86	73702966896
SPT(16)	1324449145263252289	0 4 64 84 88 102 124 142 150 168 190 204 208 228 288 292	119589858758
SPT(16)	1324449184553991833	0 18 38 50 86 98 186 210 236 260 348 360 396 408 428 446	158880598302
SPT(16)	1324449256413896141	0 72 96 102 138 146 200 270 338 408 462 470 506 512 536 608	230740502610