Prime p₀= 956788818171811367 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=76, k=10, 2 10 2 28 2

SPT(16)	956787292842986993	0 26 38 56 68 98 134 150 224 240 276 306 318 336 348 374	-1525328824374
SPT(16)	956787391391137591	0 18 52 70 82 90 150 168 172 190 250 258 270 288 322 340	-1426780673776
STPT(10)	956787421293623831	0 2 6 8 18 20 30 32 36 38	-1396878187536
STPT(10)	956787637533758879	0 2 30 32 60 62 90 92 120 122	-1180638052488
STPT(10)	956787675743778677	0 2 30 32 42 44 54 56 84 86	-1142428032690
STPT(10)	956787894904104617	0 2 54 56 72 74 90 92 144 146	-923267706750
SPT(16)	956789005212715009	0 12 58 70 112 142 144 174 178 208 210 240 282 294 340 352	187040903642
TPT(14)	956789134920888587	0 2 84 86 162 164 192 194 222 224 390 392 414 416	316749077220
SPT(16)	956789279393250517	0 36 120 126 144 172 232 240 256 264 324 352 370 376 460 496	461221439150
STPT(10)	956789597387694779	0 2 42 44 60 62 78 80 120 122	779215883412
SPT(16)	956789693561513953	0 4 40 58 60 70 78 94 114 130 138 148 150 168 204 208	875389702586