Prime p₀= 2251653928665334679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2251651606362132389	0 2 48 50 60 62 72 74 120 122	-2322303202290
SPT(16)	2251651960106269517	0 2 12 20 24 104 110 146 150 186 192 272 276 284 294 296	-1968559065162
SPT(16)	2251652555637604307	0 6 14 42 86 126 132 146 180 194 200 240 284 312 320 326	-1373027730372
SPT(16)	2251652623989461479	0 10 12 28 78 138 180 208 234 262 304 364 414 430 432 442	-1304675873200
STPT(10)	2251653516706100447	0 2 42 44 132 134 222 224 264 266	-411959234232
SPT(16)	2251653746455908643	0 10 16 24 30 34 76 94 150 168 210 214 220 228 234 244	-182209426036
SPT(16)	2251654276462260829	0 42 54 102 118 144 154 174 208 228 238 264 280 328 340 382	347796926150
STPT(10)	2251654466918010767	0 2 30 32 42 44 54 56 84 86	538252676088
STPT(10)	2251654663559768561	0 2 6 8 48 50 90 92 96 98	734894433882
TPT(14)	2251654970582789411	0 2 48 50 66 68 258 260 288 290 336 338 360 362	1041917454732
SPT(16)	2251655328648407917	0 22 34 42 60 72 76 124 162 210 214 226 244 252 264 286	1399983073238