Prime p₀= 2254303603834059059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Rantanplan
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2254302416617280999	0 62 104 120 162 168 264 270 302 308 404 410 452 468 510 572	-1187216778060
SPT(20)	2254302584830502807	0 2 6 30 44 66 206 230 252 282 284 314 336 360 500 522 536 560 564 566	-1019003556252
SPT(16)	2254302949615459381	0 28 30 60 112 130 150 156 172 178 198 216 268 298 300 328	-654218599678
STPT(12)	2254303230010399109	0 2 48 50 78 80 90 92 120 122 168 170	-373823659950
STPT(10)	2254303238445124499	0 2 42 44 90 92 138 140 180 182	-365388934560
SPT(16)	2254303329115257143	0 38 54 120 138 176 254 260 294 300 378 416 434 500 516 554	-274718801916
SPT(16)	2254303635626250427	0 10 30 70 120 136 150 154 156 160 174 190 240 280 300 310	31792191368
SPT(16)	2254304327080060127	0 6 42 60 144 174 204 230 246 272 302 332 416 434 470 476	723246001068
TPT(14)	2254304411700841439	0 2 90 92 102 104 162 164 198 200 258 260 330 332	807866782380
SPT(16)	2254304855654301959	0 12 54 68 110 120 138 150 152 164 182 192 234 248 290 302	1251820242900
SPT(16)	2254304953801408741	0 22 30 46 76 120 136 156 232 252 268 312 342 358 366 388	1349967349682