Prime p₀= 2309185179670837997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2309183099796702251	0 20 38 42 56 72 78 90 128 140 146 162 176 180 198 218	-2079874135746
SPT(16)	2309183476944936671	0 32 62 126 140 150 188 200 318 330 368 378 392 456 486 518	-1702725901326
SPT(16)	2309183524558202423	0 48 54 66 104 110 120 138 146 164 174 180 218 230 236 284	-1655112635574
SPT(16)	2309184066122942429	0 12 24 42 50 110 114 180 194 260 264 324 332 350 362 374	-1113547895568
TPT(14)	2309184831446980691	0 2 96 98 138 140 180 182 198 200 246 248 348 350	-348223857306
SPT(18)	2309184970538684951	0 12 26 42 66 96 98 146 150 188 192 240 242 272 296 312 326 338	-209132153046
SPT(16)	2309185352801632559	0 2 14 42 60 72 114 140 174 200 242 254 272 300 312 314	173130794562
STPT(10)	2309185639616383709	0 2 18 20 30 32 42 44 60 62	459945545712
TPT(14)	2309185727748001847	0 2 24 26 84 86 90 92 174 176 180 182 222 224	548077163850
SPT(16)	2309185829885836921	0 6 28 60 76 82 118 120 178 180 216 222 238 270 292 298	650214998924
STPT(10)	2309185856051292467	0 2 30 32 42 44 54 56 84 86	676380454470