Prime p₀= 1273817977845024551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

STPT(10)	1273816913462767097	0 2 54 56 72 74 90 92 144 146	-1064382257454
SPT(16)	1273817002292043449	0 8 14 18 50 60 74 78 104 108 122 132 164 168 174 182	-975552981102
SPT(16)	1273817139927275081	0 66 68 78 120 186 210 230 306 326 350 416 458 468 470 536	-837917749470
TPT(14)	1273817411824899197	0 2 114 116 144 146 222 224 252 254 384 386 432 434	-566020125354
SPT(18)	1273817483087534779	0 18 64 78 88 130 160 168 174 184 190 198 228 270 280 294 340 358	-494757489772
SPT(16)	1273817838611101129	0 24 58 78 82 114 118 184 258 324 328 360 364 384 418 442	-139233923422
STPT(10)	1273818241597180421	0 2 6 8 18 20 30 32 36 38	263752155870
SPT(16)	1273818263351737777	0 42 72 120 130 190 196 214 252 270 276 336 346 394 424 466	285506713226
SPT(16)	1273818286201888333	0 30 78 180 186 228 238 240 256 258 268 310 316 418 466 496	308356863782
STPT(10)	1273818333831386657	0 2 12 14 42 44 72 74 84 86	355986362106
STPT(10)	1273818342831415817	0 2 42 44 72 74 102 104 144 146	364986391266