Prime p₀= 2322312382121276159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2322310500472900241	0 38 56 66 120 126 146 168 170 192 212 218 272 282 300 338	-1881648375918
SPT(16)	2322310762241097359	0 2 18 30 32 78 92 102 110 120 134 180 182 194 210 212	-1619880178800
STPT(10)	2322311100148270349	0 2 18 20 30 32 42 44 60 62	-1281973005810
STPT(10)	2322311616006763187	0 2 30 32 120 122 210 212 240 242	-766114512972
STPT(10)	2322312031069589057	0 2 30 32 102 104 174 176 204 206	-351051687102
SPT(16)	2322312083287030123	0 4 48 100 130 150 154 156 298 300 304 324 354 406 450 454	-298834246036
STPT(10)	2322312699565741997	0 2 72 74 102 104 132 134 204 206	317444465838
STPT(10)	2322313682731014389	0 2 18 20 30 32 42 44 60 62	1300609738230
SPT(16)	2322313846960898029	0 4 28 40 52 78 82 88 144 150 154 180 192 204 228 232	1464839621870
SPT(16)	2322313973875680761	0 6 8 30 72 120 126 270 338 482 488 536 578 600 602 608	1591754404602
SPT(16)	2322314704927345393	0 4 18 30 40 48 70 90 124 144 166 174 184 196 210 214	2322806069234