Prime p₀= 1688417463233455697 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: [AF>Libristes] Dudumomo
db: batch=79, k=10, 2 10 2 28 2

STPT(10)	1688416631056188347	0 2 30 32 42 44 54 56 84 86	-832177267350
TPT(14)	1688416770009376409	0 2 60 62 90 92 132 134 210 212 288 290 312 314	-693224079288
SPT(16)	1688416924919434847	0 14 86 96 102 126 140 144 152 156 170 194 200 210 282 296	-538314020850
SPT(16)	1688417048683760581	0 30 40 46 112 138 142 186 352 396 400 426 492 498 508 538	-414549695116
SPT(16)	1688417121712789177	0 30 34 40 112 162 190 220 264 294 322 372 444 450 454 484	-341520666520
SPT(16)	1688417177250829163	0 24 56 68 74 78 98 150 194 246 266 270 276 288 320 344	-285982626534
SPT(16)	1688417818969161113	0 66 78 80 84 98 120 138 236 254 276 290 294 296 308 374	355735705416
SPT(16)	1688418233926516817	0 14 36 50 60 74 90 114 116 140 156 170 180 194 216 230	770693061120
SPT(16)	1688418469043683541	0 8 50 108 152 168 180 182 258 260 272 288 332 390 432 440	1005810227844
SPT(16)	1688418599480635123	0 10 24 34 48 54 124 126 208 210 280 286 300 310 324 334	1136247179426
SPT(16)	1688419245855740669	0 14 68 110 140 152 182 228 344 390 420 432 462 504 558 572	1782622284972