Prime p₀= 4305701208084685259 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: Chooka
db: batch=85, k=10, 2 10 2 76 2

STPT(10)	4305699538480581881	0 2 6 8 48 50 90 92 96 98	-1669604103378
SPT(16)	4305699794534975141	0 2 6 86 90 92 116 120 152 156 180 182 186 266 270 272	-1413549710118
SPT(16)	4305700086220479977	0 6 42 50 62 66 72 90 116 134 140 144 156 164 200 206	-1121864205282
SPT(16)	4305700110180863111	0 6 90 110 116 146 242 278 300 336 432 462 468 488 572 578	-1097903822148
SPT(16)	4305700733141298451	0 10 48 102 130 136 160 220 228 288 312 318 346 400 438 448	-474943386808
TPT(14)	4305700768664086637	0 2 42 44 84 86 180 182 222 224 234 236 282 284	-439420598622
SPT(16)	4305701251570298627	0 20 26 42 110 150 164 276 350 462 476 516 584 600 606 626	43485613368
STPT(10)	4305701261761030211	0 2 66 68 108 110 150 152 216 218	53676344952
SPT(16)	4305701781609798937	0 22 52 54 90 94 112 142 174 204 222 226 262 264 294 316	573525113678
SPT(16)	4305702008868764341	0 52 66 82 112 118 126 138 160 172 180 186 216 232 246 298	800784079082
STPT(10)	4305702028945609757	0 2 90 92 132 134 174 176 264 266	820860924498