Prime p₀= 2302344574477271939 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: JayPi
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2302342005997409039	0 32 42 48 68 72 80 102 110 132 140 144 164 170 180 212	-2568479862900
TPT(14)	2302343120561276267	0 2 24 26 54 56 60 62 102 104 114 116 252 254	-1453915995672
SPT(16)	2302343267887978723	0 4 18 58 70 100 106 234 280 408 414 444 456 496 510 514	-1306589293216
STPT(10)	2302344064915903817	0 2 12 14 72 74 132 134 144 146	-509561368122
STPT(10)	2302344079882020257	0 2 30 32 72 74 114 116 144 146	-494595251682
SPT(16)	2302344557932160971	0 12 22 28 36 42 78 82 126 130 166 172 180 186 196 208	-16545110968
SPT(16)	2302345252221044651	0 20 38 78 96 108 132 176 192 236 260 272 290 330 348 368	677743772712
STPT(10)	2302345405360008257	0 2 12 14 42 44 72 74 84 86	830882736318
TPT(14)	2302345952986011521	0 2 66 68 96 98 108 110 120 122 156 158 210 212	1378508739582
SPT(16)	2302346107127050183	0 64 78 94 108 148 156 184 210 238 246 286 300 316 330 394	1532649778244
STPT(10)	2302346755159039451	0 2 36 38 78 80 120 122 156 158	2180681767512