Prime p₀= 817123212143559941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG]FX
db: batch=73, k=10, 2 4 2 40 2

STPT(10)	817122260790252881	0 2 36 38 78 80 120 122 156 158	-951353307060
SPT(16)	817122398376161477	0 36 56 66 74 116 144 152 174 182 210 252 260 270 290 326	-813767398464
SPT(16)	817122493784212699	0 12 48 52 100 114 132 150 202 220 238 252 300 304 340 352	-718359347242
STPT(10)	817122701625891569	0 2 18 20 30 32 42 44 60 62	-510517668372
TPT(14)	817123011360743489	0 2 78 80 120 122 132 134 138 140 150 152 180 182	-200782816452
TPT(14)	817123092471802601	0 2 36 38 90 92 216 218 270 272 366 368 456 458	-119671757340
SPT(16)	817123528374211753	0 10 24 28 88 90 168 184 204 220 298 300 360 364 378 388	316230651812
TPT(14)	817123572293734547	0 2 30 32 90 92 114 116 174 176 240 242 294 296	360150174606
SPT(16)	817123627508007983	0 14 38 48 66 78 158 164 210 216 296 308 326 336 360 374	415364448042
TPT(14)	817123641213709187	0 2 24 26 42 44 54 56 150 152 204 206 210 212	429070149246
SPT(16)	817123679822984173	0 6 58 120 160 264 274 280 294 300 310 414 454 516 568 574	467679424232