Prime p₀= 2301684844658496509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: FritzB
db: batch=81, k=10, 2 40 2 76 2

SPT(16)	2301682511626153207	0 24 52 66 82 94 114 156 250 292 312 324 340 354 382 406	-2333032343302
TPT(14)	2301682971272497817	0 2 54 56 90 92 114 116 132 134 210 212 264 266	-1873385998692
TPT(14)	2301683953222534649	0 2 18 20 138 140 168 170 192 194 198 200 222 224	-891435961860
STPT(10)	2301684158403807377	0 2 54 56 72 74 90 92 144 146	-686254689132
SPT(16)	2301684232384682657	0 32 42 74 96 110 120 144 152 176 186 200 222 254 264 296	-612273813852
SPT(18)	2301684807523288687	0 12 22 30 70 82 120 142 154 162 174 196 234 246 286 294 304 316	-37135207822
STPT(10)	2301684855075715787	0 2 30 32 42 44 54 56 84 86	10417219278
STPT(10)	2301685109182713269	0 2 72 74 120 122 168 170 240 242	264524216760
STPT(10)	2301685160254810739	0 2 12 14 90 92 168 170 180 182	315596314230
SPT(16)	2301685295358930743	0 38 44 48 54 56 96 174 230 308 348 350 356 360 366 404	450700434234
TPT(14)	2301685410547559537	0 2 72 74 114 116 132 134 222 224 270 272 312 314	565889063028