Prime p₀= 2756676813657863219 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: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2756674509500040583	0 90 114 138 178 208 238 270 418 450 480 510 550 574 598 688	-2304157822636
STPT(10)	2756674954933276649	0 2 18 20 30 32 42 44 60 62	-1858724586570
SPT(16)	2756675213674688279	0 18 30 42 50 122 138 162 200 224 240 312 320 332 344 362	-1599983174940
SPT(16)	2756675323065956141	0 2 12 68 110 152 156 182 276 302 306 348 390 446 456 458	-1490591907078
SPT(16)	2756675463097066807	0 46 66 72 90 102 106 162 184 240 244 256 274 280 300 346	-1350560796412
STPT(10)	2756675676573377231	0 2 30 32 78 80 126 128 156 158	-1137084485988
SPT(16)	2756676860667800563	0 6 48 96 126 136 150 154 180 184 198 208 238 286 328 334	47009937344
SPT(16)	2756677112588286947	0 14 24 86 96 156 164 182 204 222 230 290 300 362 372 386	298930423728
SPT(20)	2756677211097745063	0 16 84 88 108 120 190 196 204 220 294 310 318 324 394 406 426 430 498 514	397439881844
STPT(12)	2756677217322128039	0 2 18 20 30 32 90 92 102 104 120 122	403664264820
TPT(14)	2756677327489188671	0 2 36 38 96 98 138 140 150 152 168 170 198 200	513831325452