Prime p₀= 1337502414498480257 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1337501677353927971	0 6 8 18 30 62 96 210 398 512 546 578 590 600 602 608	-737144552286
SPT(16)	1337501758995186929	0 20 50 78 110 134 152 174 218 240 258 282 314 342 372 392	-655503293328
SPT(16)	1337501940513961297	0 40 132 162 186 192 196 202 264 270 274 280 304 334 426 466	-473984518960
TPT(14)	1337502202456946189	0 2 102 104 108 110 138 140 222 224 228 230 240 242	-212041534068
SPT(16)	1337502204926229787	0 12 34 42 124 130 144 186 190 232 246 252 334 342 364 376	-209572250470
SPT(16)	1337502261976489277	0 12 44 60 92 120 162 174 182 194 236 264 296 312 344 356	-152521990980
SPT(18)	1337503050890043899	0 2 30 72 78 98 122 138 140 180 182 198 222 242 248 290 318 320	636391563642
SPT(16)	1337503179213125807	0 56 60 86 116 120 186 192 260 266 332 336 366 392 396 452	764714645550
SPT(16)	1337503465694699687	0 24 42 44 54 66 86 90 146 150 170 182 192 194 212 236	1051196219430
STPT(10)	1337503884510079799	0 2 42 44 120 122 198 200 240 242	1470011599542
SPT(16)	1337504439424642213	0 18 36 60 70 114 130 154 240 264 280 324 334 358 376 394	2024926161956