Prime p₀= 2327575366261225019 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2327574088638322627	0 6 42 46 64 76 90 120 136 166 180 192 210 214 250 256	-1277622902392
STPT(10)	2327574137620152527	0 2 30 32 42 44 54 56 84 86	-1228641072492
SPT(16)	2327574438116295293	0 8 14 44 66 126 164 204 260 300 338 398 420 450 456 464	-928144929726
STPT(10)	2327574536779747679	0 2 48 50 90 92 132 134 180 182	-829481477340
SPT(16)	2327574650087107189	0 42 52 70 82 88 90 108 112 130 132 138 150 168 178 220	-716174117830
STPT(10)	2327574872863145987	0 2 12 14 72 74 132 134 144 146	-493398079032
TPT(14)	2327575491851461211	0 2 66 68 96 98 120 122 126 128 180 182 468 470	125590236192
SPT(16)	2327575985239259857	0 6 16 36 64 84 114 126 154 166 196 216 244 264 274 280	618978034838
STPT(10)	2327576145104703929	0 2 18 20 60 62 102 104 120 122	778843478910
SPT(16)	2327576164183965419	0 18 48 62 90 92 158 180 182 204 270 272 300 314 344 362	797922740400
TPT(14)	2327576493052133369	0 2 12 14 60 62 102 104 138 140 180 182 228 230	1126790908350