Prime p₀= 2313329988549691121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: Orange Kid
db: batch=81, k=10, 2 46 2 58 2

SPT(16)	2313329660488602449	0 14 18 68 140 150 180 218 420 458 488 498 570 620 624 638	-328061088672
SPT(16)	2313329679878305573	0 18 46 60 88 94 136 148 156 168 210 216 244 258 286 304	-308671385548
SPT(16)	2313329775082465729	0 28 58 84 94 120 130 148 150 168 178 204 214 240 270 298	-213467225392
STPT(10)	2313329882386742027	0 2 30 32 42 44 54 56 84 86	-106162949094
STPT(12)	2313329900932146911	0 2 78 80 90 92 126 128 138 140 216 218	-87617544210
STPT(10)	2313329951023998461	0 2 36 38 78 80 120 122 156 158	-37525692660
SPT(16)	2313330265632311369	0 12 38 68 80 104 120 134 168 182 198 222 234 264 290 302	277082620248
SPT(16)	2313330295204302691	0 22 52 72 88 108 118 126 262 270 280 300 316 336 366 388	306654611570
TPT(14)	2313330807884926337	0 2 30 32 102 104 132 134 144 146 252 254 264 266	819335235216
SPT(16)	2313331266363190753	0 16 18 28 124 138 154 180 184 210 226 240 336 346 348 364	1277813499632
STPT(10)	2313331666526378591	0 2 36 38 78 80 120 122 156 158	1677976687470