Prime p₀= 2319868145340829409 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2319866869872629423	0 30 56 68 78 86 108 180 194 266 288 296 306 318 344 374	-1275468199986
SPT(16)	2319867038989594091	0 6 30 32 110 116 180 222 230 272 336 342 420 422 446 452	-1106351235318
TPT(14)	2319867164597396537	0 2 12 14 54 56 60 62 102 104 180 182 312 314	-980743432872
SPT(16)	2319867709316903891	0 56 62 78 80 116 122 140 168 186 192 228 230 246 252 308	-436023925518
STPT(10)	2319867774745269767	0 2 12 14 72 74 132 134 144 146	-370595559642
SPT(16)	2319867836562058087	0 54 64 82 114 156 162 166 240 244 250 292 324 342 352 406	-308778771322
SPT(18)	2319868299984564841	0 36 46 66 70 100 150 210 246 262 298 358 408 438 442 462 472 508	154643735432
SPT(16)	2319868412679034747	0 46 90 96 102 124 180 192 274 286 342 364 370 376 420 466	267338205338
SPT(16)	2319868519930498921	0 28 42 48 60 126 150 160 168 178 202 268 280 286 300 328	374589669512
TPT(14)	2319868590338976377	0 2 30 32 54 56 114 116 120 122 192 194 252 254	444998146968
TPT(14)	2319868596103414469	0 2 42 44 120 122 168 170 192 194 198 200 282 284	450762585060