Prime p₀= 2999283091669295927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2999281878441009767	0 2 90 92 222 224 270 272 312 314 342 344 462 464	-1213228286160
SPT(16)	2999282338438333663	0 94 100 108 136 160 234 256 408 430 504 528 556 564 570 664	-753230962264
STPT(10)	2999282508316947371	0 2 30 32 78 80 126 128 156 158	-583352348556
STPT(10)	2999282990463941801	0 2 6 8 48 50 90 92 96 98	-101205354126
SPT(16)	2999283014598594487	0 12 36 40 70 82 96 106 126 136 150 162 192 196 220 232	-77070701440
STPT(10)	2999283029033607887	0 2 84 86 132 134 180 182 264 266	-62635688040
STPT(10)	2999283263828215631	0 2 36 38 78 80 120 122 156 158	172158919704
SPT(16)	2999283593796433837	0 6 12 22 34 40 126 136 150 160 246 252 264 274 280 286	502127137910
STPT(10)	2999283851790808859	0 2 12 14 90 92 168 170 180 182	760121512932
SPT(16)	2999284038212858503	0 34 46 60 70 84 118 178 186 246 280 294 304 318 330 364	946543562576
SPT(16)	2999284193576272037	0 20 24 74 122 140 164 170 204 210 234 252 300 350 354 374	1101906976110