Prime p₀= 2310199831039895537 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2310198824166413627	0 2 42 44 72 74 102 104 144 146	-1006873481910
STPT(10)	2310198843939455267	0 2 30 32 42 44 54 56 84 86	-987100440270
SPT(16)	2310199148674103957	0 14 50 56 90 132 144 174 212 242 254 296 330 336 372 386	-682365791580
SPT(16)	2310199203977518193	0 98 140 146 156 216 230 260 264 294 308 368 378 384 426 524	-627062377344
SPT(16)	2310199328994909361	0 6 76 100 106 126 130 162 196 228 232 252 258 282 352 358	-502044986176
STPT(10)	2310199455131205899	0 2 42 44 120 122 198 200 240 242	-375908689638
SPT(16)	2310200426741235277	0 22 34 36 46 90 112 126 190 204 226 270 280 282 294 316	595701339740
SPT(16)	2310200784398452109	0 14 62 72 80 98 104 108 194 198 204 222 230 240 288 302	953358556572
SPT(16)	2310201503519184101	0 32 50 80 92 120 138 192 236 290 308 336 348 378 396 428	1672479288564
SPT(16)	2310201671097296237	0 24 30 44 56 126 144 156 170 182 200 270 282 296 302 326	1840057400700
SPT(16)	2310201697613824031	0 66 80 86 108 180 198 212 246 260 278 350 372 378 392 458	1866573928494