Prime p₀= 2166867958119542537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2166867051411754079	0 44 48 50 68 90 104 128 174 198 212 234 252 254 258 302	-906707788458
SPT(16)	2166867150979254001	0 12 28 106 126 136 180 210 328 358 402 412 432 510 526 538	-807140288536
SPT(16)	2166867295549239677	0 30 42 44 80 92 104 122 132 150 162 174 210 212 224 254	-662570302860
SPT(16)	2166867486512579597	0 14 32 54 60 96 120 132 194 206 230 266 272 294 312 326	-471606962940
TPT(14)	2166867561323980169	0 2 12 14 30 32 42 44 48 50 198 200 228 230	-396795562368
TPT(14)	2166867608576411591	0 2 30 32 48 50 168 170 210 212 240 242 270 272	-349543130946
SPT(16)	2166868001752633843	0 10 30 46 60 70 76 88 96 108 114 124 138 154 174 184	43633091306
STPT(10)	2166868009133282639	0 2 30 32 60 62 90 92 120 122	51013740102
SPT(16)	2166868170534461621	0 12 36 42 110 188 192 206 222 236 240 318 386 392 416 428	212414919084
STPT(10)	2166868307052644147	0 2 30 32 42 44 54 56 84 86	348933101610
TPT(14)	2166868354830865667	0 2 42 44 90 92 102 104 114 116 120 122 144 146	396711323130