Prime p₀= 2623257686650795937 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2623255984959562397	0 2 30 32 42 44 54 56 84 86	-1701691233540
SPT(16)	2623256563525317757	0 10 34 46 66 100 126 130 156 160 186 220 240 252 276 286	-1123125478180
SPT(16)	2623256656957442021	0 18 60 90 110 138 150 168 248 266 278 306 326 356 398 416	-1029693353916
STPT(10)	2623256968091041949	0 2 42 44 60 62 78 80 120 122	-718559753988
SPT(16)	2623257360135200353	0 10 60 78 88 118 120 126 130 136 138 168 178 196 246 256	-326515595584
SPT(16)	2623257422622497803	0 10 48 58 60 70 90 94 234 238 258 268 270 280 318 328	-264028298134
SPT(16)	2623257686961861241	0 48 66 78 88 90 166 238 270 342 418 420 430 442 460 508	311065304
SPT(16)	2623257816712648589	0 38 42 50 84 134 144 168 224 248 258 308 342 350 354 392	130061852652
SPT(16)	2623257962115558539	0 30 48 50 84 162 228 252 290 314 380 458 492 494 512 542	275464762602
STPT(10)	2623258057862387789	0 2 18 20 30 32 42 44 60 62	371211591852
SPT(16)	2623258599254456609	0 20 68 78 84 92 102 108 134 140 150 158 164 174 222 242	912603660672