Prime p₀= 1413451504616689007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: MarkRBright
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1413450338222906947	0 12 42 54 112 124 126 150 166 190 192 204 262 274 304 316	-1166393782060
SPT(16)	1413450466884195841	0 22 36 48 58 66 70 72 76 78 82 90 100 112 126 148	-1037732493166
STPT(10)	1413450667320436697	0 2 30 32 42 44 54 56 84 86	-837296252310
SPT(16)	1413450921725032207	0 54 70 76 120 132 160 244 252 336 364 376 420 426 442 496	-582891656800
SPT(16)	1413451186962984509	0 8 20 48 84 92 140 152 240 252 300 308 344 372 384 392	-317653704498
SPT(16)	1413451327110835907	0 20 42 56 66 110 126 152 180 206 222 266 276 290 312 332	-177505853100
SPT(16)	1413451516281764431	0 40 42 52 96 160 162 168 190 196 198 262 306 316 318 358	11665075424
SPT(20)	1413451967353129841	0 2 18 20 126 156 236 278 296 302 306 312 330 372 452 482 588 590 606 608	462736440834
SPT(16)	1413452196579136919	0 60 72 74 80 84 90 122 210 242 248 252 258 260 272 332	691962447912
TPT(14)	1413452395120686341	0 2 66 68 78 80 150 152 168 170 210 212 378 380	890503997334
STPT(10)	1413452417231371547	0 2 30 32 60 62 90 92 120 122	912614682540