Prime p₀= 829234509298941827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: declis
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	829233992931859313	0 30 68 74 108 116 128 140 264 276 288 296 330 336 374 404	-516367082514
SPT(16)	829234074576938197	0 46 82 90 142 172 250 280 282 312 390 420 472 480 516 562	-434722003630
STPT(10)	829234180524693257	0 2 30 32 72 74 114 116 144 146	-328774248570
SPT(16)	829234238699172451	0 12 36 40 46 52 66 82 90 106 120 126 132 136 160 172	-270599769376
SPT(16)	829234250476872503	0 20 30 44 48 54 90 96 128 134 170 176 180 194 204 224	-258822069324
TPT(14)	829234430532622529	0 2 18 20 60 62 132 134 240 242 270 272 288 290	-78766319298
SPT(16)	829235369131785097	0 4 30 82 100 114 124 154 240 270 280 294 312 364 390 394	859832843270
STPT(10)	829236016191439859	0 2 30 32 60 62 90 92 120 122	1506892498032
SPT(16)	829236158722077451	0 48 78 90 112 118 126 156 232 262 270 276 298 310 340 388	1649423135624
TPT(14)	829236571737124127	0 2 54 56 90 92 120 122 132 134 150 152 192 194	2062438182300
STPT(10)	829236929198531339	0 2 12 14 90 92 168 170 180 182	2419899589512