Prime p₀= 805571814188833121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 100 2 100 2 4 2 (?)
a_n: 0 2 6 8 108 110 210 212 216 218
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: 218
Found by: [SG]FX
db: batch=73, k=10, 2 4 2 100 2

SPT(16)	805571042555211529	0 10 34 64 88 108 148 154 168 174 214 234 258 288 312 322	-771633621592
STPT(10)	805571129067272669	0 2 12 14 90 92 168 170 180 182	-685121560452
SPT(16)	805571225559835909	0 72 94 102 132 168 214 220 342 348 394 430 460 468 490 562	-588628997212
STPT(10)	805571478696755777	0 2 30 32 42 44 54 56 84 86	-335492077344
SPT(16)	805571579887515361	0 16 46 48 72 76 88 172 186 270 282 286 310 312 342 358	-234301317760
SPT(16)	805571757892384519	0 12 54 72 78 84 130 148 204 222 268 274 280 298 340 352	-56296448602
SPT(16)	805571922188757439	0 4 52 72 78 84 102 118 144 160 178 184 190 210 258 262	107999924318
STPT(10)	805572023847949451	0 2 36 38 78 80 120 122 156 158	209659116330
STPT(10)	805572232606683119	0 2 42 44 90 92 138 140 180 182	418417849998
TPT(14)	805572285405676301	0 2 60 62 78 80 186 188 198 200 216 218 240 242	471216843180
TPT(14)	805572700679056379	0 2 168 170 180 182 222 224 348 350 390 392 420 422	886490223258