Prime p₀= 2158028765412952319 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=81, k=10, 2 16 2 10 2

TPT(14)	2158027837726856237	0 2 72 74 84 86 114 116 174 176 204 206 282 284	-927686096082
SPT(16)	2158028298117877931	0 32 50 98 102 140 152 168 212 228 240 278 282 330 348 380	-467295074388
STPT(12)	2158028428416712979	0 2 12 14 72 74 78 80 138 140 150 152	-336996239340
SPT(16)	2158028547900736897	0 70 94 100 150 156 184 214 246 276 304 310 360 366 390 460	-217512215422
STPT(10)	2158028572415139791	0 2 6 8 48 50 90 92 96 98	-192997812528
SPT(16)	2158028623555415239	0 82 88 94 114 142 144 150 202 208 210 238 258 264 270 352	-141857537080
STPT(10)	2158028846010885899	0 2 18 20 30 32 42 44 60 62	80597933580
SPT(16)	2158028933336004607	0 16 42 46 102 154 162 172 264 274 282 334 390 394 420 436	167923052288
STPT(10)	2158029117693820727	0 2 30 32 72 74 114 116 144 146	352280868408
STPT(10)	2158029290374852721	0 2 30 32 78 80 126 128 156 158	524961900402
SPT(16)	2158029397863504043	0 54 58 130 154 184 190 198 280 288 294 324 348 420 424 478	632450551724