Prime p₀= 2312142296757816947 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

SPT(16)	2312140873015544569	0 4 22 48 60 88 124 150 232 258 294 322 334 360 378 382	-1423742272378
STPT(10)	2312140948698053729	0 2 12 14 90 92 168 170 180 182	-1348059763218
SPT(16)	2312141048054966203	0 10 54 136 150 166 220 274 336 390 444 460 474 556 600 610	-1248702850744
SPT(16)	2312141329334959589	0 18 78 80 84 90 102 108 134 140 152 158 162 164 224 242	-967422857358
STPT(10)	2312141339519995799	0 2 12 14 30 32 48 50 60 62	-957237821148
SPT(16)	2312141968215541853	0 30 56 68 80 98 138 140 156 158 198 216 228 240 266 296	-328542275094
STPT(10)	2312142473133121631	0 2 30 32 60 62 90 92 120 122	176375304684
SPT(16)	2312142536330081657	0 26 80 122 144 174 180 186 230 236 242 272 294 336 390 416	239572264710
SPT(16)	2312142541420899601	0 18 22 72 108 120 126 142 156 172 178 190 226 276 280 298	244663082654
STPT(10)	2312142583687224257	0 2 54 56 72 74 90 92 144 146	286929407310
SPT(16)	2312142889003553491	0 28 118 130 196 210 222 312 316 406 418 432 498 510 600 628	592245736544