Prime p₀= 826789923439215017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: fzs600
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	826788596967523457	0 26 66 176 180 186 224 284 312 372 410 416 420 530 570 596	-1326471691560
SPT(16)	826789048969492951	0 28 42 82 96 108 118 196 222 300 310 322 336 376 390 418	-874469722066
SPT(16)	826789243049552767	0 54 84 96 106 136 150 160 180 190 204 234 244 256 286 340	-680389662250
SPT(16)	826789250781016309	0 12 28 34 54 64 108 114 118 124 168 178 198 204 220 232	-672658198708
STPT(10)	826789277890584257	0 2 12 14 72 74 132 134 144 146	-645548630760
SPT(16)	826789835445711961	0 10 28 46 48 76 88 90 106 108 120 148 150 168 186 196	-87993503056
STPT(10)	826790219050749167	0 2 30 32 42 44 54 56 84 86	295611534150
SPT(16)	826790228728855667	0 44 56 66 80 86 146 176 210 240 300 306 320 330 342 386	305289640650
SPT(20)	826790313658889317	0 34 64 90 126 136 190 192 202 204 232 234 244 246 300 310 346 372 402 436	390219674300
SPT(16)	826790652534071333	0 20 30 38 66 80 110 150 194 234 264 278 306 314 324 344	729094856316
STPT(10)	826790693968764527	0 2 30 32 60 62 90 92 120 122	770529549510