Prime p₀= 1273890934483186697 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1273889938545401759	0 18 140 164 194 204 218 240 248 270 284 294 324 348 470 488	-995937784938
SPT(16)	1273889964077418977	0 50 56 60 86 92 120 132 170 182 210 216 242 246 252 302	-970405767720
SPT(16)	1273890169548162119	0 18 30 42 50 62 72 92 198 218 228 240 248 260 272 290	-764935024578
STPT(10)	1273890202858904177	0 2 30 32 42 44 54 56 84 86	-731624282520
SPT(16)	1273890424045641617	0 54 74 92 144 152 164 206 330 372 384 392 444 462 482 536	-510437545080
SPT(16)	1273890425154495847	0 4 6 124 144 196 202 222 244 264 270 322 342 460 462 466	-509328690850
STPT(10)	1273891046794303757	0 2 30 32 42 44 54 56 84 86	112311117060
SPT(16)	1273891102019167241	0 32 96 98 150 228 240 242 276 278 290 368 420 422 486 518	167535980544
STPT(10)	1273891280764889327	0 2 30 32 72 74 114 116 144 146	346281702630
SPT(16)	1273891421145625619	0 8 42 60 72 122 128 200 210 282 288 338 350 368 402 410	486662438922
STPT(10)	1273891433492369477	0 2 30 32 60 62 90 92 120 122	499009182780