Prime p₀= 2031086702523852299 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: JonS
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2031085250432017211	0 32 48 60 78 92 132 152 216 236 276 290 308 320 336 368	-1452091835088
STPT(10)	2031085398416192747	0 2 30 32 72 74 114 116 144 146	-1304107659552
STPT(10)	2031085851936275051	0 2 30 32 78 80 126 128 156 158	-850587577248
STPT(10)	2031086116711161611	0 2 6 8 48 50 90 92 96 98	-585812690688
STPT(10)	2031086265982391669	0 2 18 20 30 32 42 44 60 62	-436541460630
STPT(10)	2031086454476792129	0 2 18 20 30 32 42 44 60 62	-248047060170
SPT(16)	2031087154757466257	0 36 44 62 90 92 162 174 182 194 264 266 294 312 320 356	452233613958
STPT(10)	2031087611714884691	0 2 66 68 138 140 210 212 276 278	909191032392
STPT(10)	2031087694626941141	0 2 36 38 78 80 120 122 156 158	992103088842
SPT(16)	2031087699970629493	0 70 78 88 90 118 120 130 156 166 168 196 198 208 216 286	997446777194
TPT(14)	2031088067930418191	0 2 6 8 120 122 156 158 210 212 258 260 336 338	1365406565892