Prime p₀= 2582127303289266149 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2582126565423802897	0 24 36 40 54 126 180 184 216 220 274 346 360 364 376 400	-737865463252
TPT(14)	2582126609158564199	0 2 132 134 198 200 240 242 252 254 378 380 420 422	-694130701950
STPT(12)	2582126713678154051	0 2 6 8 36 38 90 92 120 122 126 128	-589611112098
SPT(16)	2582127027711958171	0 42 46 48 58 76 82 130 168 216 222 240 250 252 256 298	-275577307978
STPT(10)	2582127080231090129	0 2 48 50 90 92 132 134 180 182	-223058176020
STPT(10)	2582127090251614151	0 2 36 38 78 80 120 122 156 158	-213037651998
SPT(16)	2582127653740870399	0 30 54 72 82 118 184 202 240 258 324 360 370 388 412 442	350451604250
SPT(18)	2582127664264068287	0 6 30 44 56 120 122 146 162 224 240 264 266 330 342 356 380 386	360974802138
SPT(16)	2582128046105413621	0 46 90 228 238 246 270 280 288 298 322 330 340 478 522 568	742816147472
STPT(10)	2582128653913540001	0 2 6 8 48 50 90 92 96 98	1350624273852
SPT(13)	2582128847965218691	0 42 60 90 102 132 150 168 198 210 240 258 300	1544675952542