Prime p₀= 745647328383577577 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	745646260359410843	0 38 80 86 114 188 290 300 314 324 426 500 528 534 576 614	-1068024166734
SPT(16)	745646496988767419	0 2 14 68 78 80 90 104 198 212 222 224 234 288 300 302	-831394810158
STPT(10)	745646502076913579	0 2 18 20 30 32 42 44 60 62	-826306663998
SPT(16)	745646686443341713	0 18 28 46 114 120 130 136 288 294 304 310 378 396 406 424	-641940235864
SPT(16)	745646726999204467	0 10 22 34 40 42 100 120 196 216 274 276 282 294 306 316	-601384373110
SPT(16)	745647210242651359	0 42 70 102 108 154 174 192 220 238 258 304 310 342 370 412	-118140926218
SPT(16)	745647545755629269	0 8 12 30 62 84 98 104 168 174 188 210 242 260 264 272	217372051692
STPT(10)	745647757573572611	0 2 6 8 18 20 30 32 36 38	429189995034
SPT(16)	745647975857233741	0 28 40 112 130 166 172 178 330 336 342 378 396 468 480 508	647473656164
STPT(10)	745648192266615731	0 2 30 32 60 62 90 92 120 122	863883038154
SPT(16)	745648259600013899	0 8 38 42 48 72 98 122 180 204 230 254 260 264 294 302	931216436322