Prime p₀= 2186124562755036689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=81, k=10, 2 28 2 28 2

TPT(14)	2186122958096696609	0 2 18 20 42 44 48 50 198 200 300 302 342 344	-1604658340080
SPT(16)	2186123468253322253	0 6 38 66 78 96 126 140 174 188 218 236 248 276 308 314	-1094501714436
SPT(16)	2186123747503819423	0 4 34 48 58 60 70 88 126 144 154 156 166 180 210 214	-815251217266
SPT(16)	2186123828920674287	0 30 80 110 120 144 182 192 212 222 260 284 294 324 374 404	-733834362402
SPT(16)	2186124354448681807	0 12 40 76 114 142 160 180 196 216 234 262 300 336 364 376	-208306354882
SPT(16)	2186124377074450207	0 6 24 66 82 90 132 156 160 184 226 234 250 292 310 316	-185680586482
SPT(16)	2186124716614547477	0 2 30 54 60 156 170 186 350 366 380 476 482 506 534 536	153859510788
STPT(10)	2186124719769234617	0 2 90 92 102 104 114 116 204 206	157014197928
SPT(16)	2186124787400120321	0 30 62 72 80 102 122 138 200 216 236 258 266 276 308 338	224645083632
SPT(16)	2186125176627252401	0 32 60 66 72 78 132 228 230 326 380 386 392 398 426 458	613872215712
TPT(14)	2186125427836518041	0 2 66 68 240 242 318 320 366 368 420 422 438 440	865081481352