Prime p₀= 2797926668064276557 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2797923168367097761	0 16 48 72 100 102 118 156 172 210 226 228 256 280 312 328	-3499697178796
SPT(16)	2797923848073976759	0 130 142 154 174 190 232 274 378 420 462 478 498 510 522 652	-2819990299798
SPT(16)	2797924780513668503	0 14 20 24 74 84 120 140 168 188 224 234 284 288 294 308	-1887550608054
SPT(16)	2797925349934105439	0 20 80 140 152 168 198 222 308 332 362 378 390 450 510 530	-1318130171118
SPT(16)	2797925817237944909	0 8 80 84 90 98 132 150 242 260 294 302 308 312 384 392	-850826331648
STPT(10)	2797926177320922689	0 2 18 20 30 32 42 44 60 62	-490743353868
STPT(10)	2797926881702506649	0 2 18 20 30 32 42 44 60 62	213638230092
SPT(16)	2797927264329448007	0 12 30 56 170 182 210 242 330 362 390 402 516 542 560 572	596265171450
SPT(16)	2797927364010550517	0 42 50 92 110 132 152 170 186 204 224 246 264 306 314 356	695946273960
TPT(14)	2797927488702032987	0 2 42 44 54 56 60 62 222 224 252 254 282 284	820637756430
SPT(16)	2797927951656818899	0 70 84 150 168 174 228 234 304 310 364 370 388 454 468 538	1283592542342