Prime p₀= 1311705810470873957 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: Conan
db: batch=77, k=10, 2 10 2 28 2

TPT(14)	1311704902229544659	0 2 72 74 168 170 198 200 222 224 300 302 312 314	-908241329298
SPT(16)	1311705034165869143	0 6 26 36 110 206 216 248 276 308 318 414 488 498 518 524	-776305004814
SPT(16)	1311705162321605917	0 10 42 94 112 120 132 162 244 274 286 294 312 364 396 406	-648149268040
TPT(14)	1311705431571318491	0 2 78 80 138 140 168 170 180 182 198 200 240 242	-378899555466
SPT(18)	1311705432003819491	0 2 20 30 38 80 92 108 122 126 140 156 168 210 218 228 246 248	-378467054466
STPT(10)	1311705809773684277	0 2 30 32 42 44 54 56 84 86	-697189680
SPT(16)	1311705878328589417	0 4 76 90 120 156 160 172 174 186 190 226 256 270 342 346	67857715460
SPT(16)	1311706010175025951	0 6 16 28 48 132 142 180 238 276 286 370 390 402 412 418	199704151994
SPT(16)	1311706056831464167	0 12 34 46 66 84 124 126 220 222 262 280 300 312 334 346	246360590210
SPT(16)	1311706495081398301	0 6 12 78 88 100 106 156 172 222 228 240 250 316 322 328	684610524344
SPT(16)	1311706912332038267	0 56 110 146 156 174 182 222 224 264 272 290 300 336 390 446	1101861164310