Prime p₀= 2113004122109313869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 16 2 40 2

TPT(14)	2113002553817052431	0 2 48 50 78 80 120 122 156 158 216 218 240 242	-1568292261438
SPT(16)	2113002702542915839	0 12 40 42 64 84 102 130 144 172 190 210 232 234 262 274	-1419566398030
SPT(16)	2113003030449075679	0 12 22 48 132 148 162 168 214 220 234 250 334 360 370 382	-1091660238190
SPT(16)	2113003377792452377	0 12 36 60 66 112 136 144 172 180 204 250 256 280 304 316	-744316861492
SPT(16)	2113003601806217371	0 18 28 30 52 58 66 72 166 172 180 186 208 210 220 238	-520303096498
SPT(16)	2113003937683684657	0 24 96 100 112 132 154 166 360 372 394 414 426 430 502 526	-184425629212
STPT(10)	2113004271245219279	0 2 48 50 90 92 132 134 180 182	149135905410
STPT(10)	2113004500022439869	0 2 18 20 30 32 42 44 60 62	377913126000
STPT(10)	2113004594775500651	0 2 36 38 78 80 120 122 156 158	472666186782
STPT(10)	2113004611234253201	0 2 36 38 108 110 180 182 216 218	489124939332
TPT(14)	2113004701671388937	0 2 24 26 60 62 84 86 102 104 192 194 252 254	579562075068