Prime p₀= 2901566812356715427 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(18)	2901565414227954223	0 18 46 78 136 148 150 154 204 220 270 274 276 288 346 378 406 424	-1398128761204
SPT(16)	2901565468820703023	0 110 140 180 204 264 294 314 336 356 386 446 470 510 540 650	-1343536012404
TPT(14)	2901566166888502361	0 2 48 50 78 80 120 122 210 212 318 320 468 470	-645468213066
SPT(16)	2901566258362625407	0 4 10 12 30 42 60 82 114 136 154 166 184 186 192 196	-553994090020
SPT(16)	2901566698967699947	0 4 6 34 84 120 162 172 174 184 226 262 312 340 342 346	-113389015480
SPT(16)	2901566774489795263	0 18 40 46 60 66 76 150 154 228 238 244 258 264 286 304	-37866920164
SPT(16)	2901566924437879837	0 6 10 24 34 72 124 214 432 522 574 612 622 636 640 646	112081164410
STPT(10)	2901567395091042647	0 2 30 32 72 74 114 116 144 146	582734327220
SPT(16)	2901567663624449473	0 16 30 64 66 76 118 120 154 156 198 208 210 244 258 274	851267734046
STPT(10)	2901567910719799157	0 2 12 14 72 74 132 134 144 146	1098363083730
SPT(16)	2901567942696110453	0 8 24 44 68 80 90 108 110 128 138 150 174 194 210 218	1130339395026