Prime p₀= 2053805002883351717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2053803558436000541	0 2 30 32 60 62 126 128 186 188 216 218 288 290	-1444447351176
STPT(10)	2053803926395853459	0 2 18 20 60 62 102 104 120 122	-1076487498258
SPT(16)	2053804517535590263	0 54 90 100 120 138 166 190 294 318 346 364 384 394 430 484	-485347761454
STPT(10)	2053804605345950057	0 2 12 14 42 44 72 74 84 86	-397537401660
SPT(16)	2053804856092282739	0 8 24 32 42 54 62 78 164 180 188 200 210 218 234 242	-146791068978
SPT(16)	2053804955066668127	0 20 30 32 84 90 114 186 200 272 296 302 354 356 366 386	-47816683590
SPT(16)	2053805261379607819	0 30 40 42 48 124 132 172 180 220 228 304 310 312 322 352	258496256102
TPT(14)	2053805334150254621	0 2 30 32 96 98 138 140 156 158 198 200 228 230	331266902904
SPT(16)	2053805399520374251	0 52 78 108 136 138 142 192 196 246 250 252 280 310 336 388	396637022534
SPT(16)	2053805704302466633	0 16 24 36 60 94 96 124 126 154 156 190 214 226 234 250	701419114916
STPT(10)	2053805742584151737	0 2 24 26 42 44 60 62 84 86	739700800020