Prime p₀= 2725684794649149017 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: eclipse99
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2725683182401030699	0 24 30 42 60 78 82 94 198 210 214 232 250 262 268 292	-1612248118318
SPT(16)	2725683515748546797	0 6 56 66 72 90 120 132 170 182 212 230 236 246 296 302	-1278900602220
SPT(16)	2725683772172892071	0 2 6 36 126 146 188 228 230 270 312 332 422 452 456 458	-1022476256946
SPT(16)	2725683938033061953	0 8 36 56 80 128 138 164 180 206 216 264 288 308 336 344	-856616087064
SPT(16)	2725684093699942741	0 16 72 108 126 130 156 160 168 172 198 202 220 256 312 328	-700949206276
SPT(16)	2725684683940579421	0 12 90 92 156 158 168 188 210 230 240 242 306 308 386 398	-110708569596
STPT(10)	2725684937120417099	0 2 42 44 60 62 78 80 120 122	142471268082
STPT(10)	2725684977010798667	0 2 12 14 72 74 132 134 144 146	182361649650
SPT(16)	2725685328242634673	0 34 40 70 94 100 114 154 156 196 210 216 240 270 276 310	533593485656
SPT(16)	2725685397299665529	0 18 60 72 78 98 152 170 192 210 264 284 290 302 344 362	602650516512
STPT(10)	2725685433800392277	0 2 30 32 42 44 54 56 84 86	639151243260