Prime p₀= 2310444490089715937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: FritzB
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2310442836093174787	0 34 36 96 112 132 190 222 274 306 364 384 400 460 462 496	-1653996541150
SPT(16)	2310442884296125079	0 18 44 62 72 78 120 132 140 152 194 200 210 228 254 272	-1605793590858
SPT(16)	2310443643580746137	0 14 32 50 84 140 162 192 302 332 354 410 444 462 480 494	-846508969800
STPT(10)	2310443812487212247	0 2 24 26 42 44 60 62 84 86	-677602503690
SPT(16)	2310443900469401101	0 6 18 42 48 58 88 126 172 210 240 250 256 280 292 298	-589620314836
STPT(10)	2310444092962635527	0 2 42 44 102 104 162 164 204 206	-397127080410
STPT(10)	2310444556731485357	0 2 30 32 42 44 54 56 84 86	66641769420
SPT(16)	2310444586862024231	0 12 48 80 110 126 188 212 216 240 302 318 348 380 416 428	96772308294
SPT(16)	2310444600949518829	0 24 28 34 94 160 178 204 208 234 252 318 378 384 388 412	110859802892
STPT(10)	2310444686952311837	0 2 42 44 72 74 102 104 144 146	196862595900
SPT(16)	2310444723256030717	0 6 54 72 102 156 160 174 292 306 310 364 394 412 460 466	233166314780