Prime p₀= 2312142583687224257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 52 2 16 2

STPT(10)	2312141339519995799	0 2 12 14 30 32 48 50 60 62	-1244167228458
SPT(16)	2312141968215541853	0 30 56 68 80 98 138 140 156 158 198 216 228 240 266 296	-615471682404
STPT(10)	2312142296757816947	0 2 54 56 72 74 90 92 144 146	-286929407310
STPT(10)	2312142473133121631	0 2 30 32 60 62 90 92 120 122	-110554102626
SPT(16)	2312142536330081657	0 26 80 122 144 174 180 186 230 236 242 272 294 336 390 416	-47357142600
SPT(16)	2312142541420899601	0 18 22 72 108 120 126 142 156 172 178 190 226 276 280 298	-42266324656
SPT(16)	2312142889003553491	0 28 118 130 196 210 222 312 316 406 418 432 498 510 600 628	305316329234
TPT(14)	2312142975486128381	0 2 18 20 36 38 78 80 198 200 210 212 240 242	391798904124
STPT(10)	2312143654761602507	0 2 24 26 42 44 60 62 84 86	1071074378250
STPT(10)	2312143719749002961	0 2 6 8 48 50 90 92 96 98	1136061778704
SPT(16)	2312143943789458567	0 10 46 52 66 96 126 130 132 136 166 196 210 216 252 262	1360102234310