Prime p₀= 2079734380075672259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2079733611206924917	0 10 46 100 124 132 144 216 220 292 304 312 336 390 426 436	-768868747342
SPT(16)	2079733898795946763	0 24 34 144 154 160 184 216 238 270 294 300 310 420 430 454	-481279725496
SPT(16)	2079734062069067737	0 36 54 124 186 216 244 286 300 342 370 400 462 532 550 586	-318006604522
SPT(13)	2079734086915490749	0 24 42 72 120 150 162 174 204 252 282 300 324	-293160181510
TPT(14)	2079734286511674389	0 2 120 122 132 134 210 212 240 242 258 260 342 344	-93563997870
TPT(14)	2079734300488159307	0 2 144 146 180 182 222 224 252 254 324 326 354 356	-79587512952
SPT(16)	2079734640301371577	0 6 10 16 30 54 72 102 124 154 172 196 210 216 220 226	260225699318
SPT(18)	2079734776493068757	0 20 72 84 86 96 140 150 194 252 296 306 350 360 362 374 426 446	396417396498
SPT(16)	2079734777612048311	0 42 60 88 108 150 186 222 256 292 328 370 390 418 436 478	397536376052
SPT(16)	2079735322681672517	0 30 56 72 86 114 156 210 266 320 362 390 404 420 446 476	942606000258
TPT(14)	2079735350682772421	0 2 60 62 156 158 240 242 246 248 288 290 300 302	970607100162