Prime p₀= 2999282508316947371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2999280626983839061	0 12 30 120 162 166 180 268 300 388 402 406 448 538 556 568	-1881333108310
SPT(16)	2999280631081042159	0 12 40 42 52 54 64 120 154 210 220 222 232 234 262 274	-1877235905212
TPT(14)	2999281311907632107	0 2 12 14 24 26 30 32 72 74 102 104 114 116	-1196409315264
SPT(16)	2999281600047345077	0 90 132 170 182 240 246 252 254 260 266 324 336 374 416 506	-908269602294
TPT(14)	2999281878441009767	0 2 90 92 222 224 270 272 312 314 342 344 462 464	-629875937604
SPT(16)	2999282338438333663	0 94 100 108 136 160 234 256 408 430 504 528 556 564 570 664	-169878613708
STPT(10)	2999282990463941801	0 2 6 8 48 50 90 92 96 98	482146994430
SPT(16)	2999283014598594487	0 12 36 40 70 82 96 106 126 136 150 162 192 196 220 232	506281647116
STPT(10)	2999283029033607887	0 2 84 86 132 134 180 182 264 266	520716660516
STPT(10)	2999283091669295927	0 2 12 14 42 44 72 74 84 86	583352348556
STPT(10)	2999283263828215631	0 2 36 38 78 80 120 122 156 158	755511268260