Prime p₀= 3007848447198959867 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3007847637127825799	0 62 152 158 164 182 228 248 294 314 360 378 384 390 480 542	-810071134068
SPT(16)	3007847665529803763	0 8 60 84 90 104 146 206 228 288 330 344 350 374 426 434	-781669156104
SPT(16)	3007847733749547979	0 112 114 120 160 162 210 220 342 352 400 402 442 448 450 562	-713449411888
STPT(10)	3007847762605772267	0 2 24 26 42 44 60 62 84 86	-684593187600
SPT(13)	3007848266993556149	0 48 72 102 108 132 150 168 192 198 228 252 300	-180205403718
SPT(16)	3007848313649393857	0 4 16 40 60 84 90 102 154 166 172 196 216 240 252 256	-133549566010
STPT(10)	3007848502701399947	0 2 30 32 102 104 174 176 204 206	55502440080
STPT(10)	3007848636052311809	0 2 18 20 30 32 42 44 60 62	188853351942
SPT(16)	3007848906741177727	0 16 70 76 82 90 126 246 286 406 442 450 456 462 516 532	459542217860
SPT(16)	3007849112449596511	0 46 82 88 96 120 162 172 186 196 238 262 270 276 312 358	665250636644
SPT(16)	3007849147176229541	0 48 50 56 72 98 110 138 170 198 210 236 252 258 260 308	699977269674