Prime p₀= 825717682797508559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: amazing
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	825715580881336661	0 8 36 38 42 62 66 132 176 242 246 266 270 272 300 308	-2101916171898
STPT(10)	825715600123078961	0 2 6 8 18 20 30 32 36 38	-2082674429598
SPT(16)	825715811466416033	0 20 36 48 56 66 78 86 120 128 140 150 158 170 186 206	-1871331092526
SPT(16)	825716833931542363	0 16 18 30 46 118 150 210 226 286 318 390 406 418 420 436	-848865966196
SPT(16)	825717015200830553	0 14 30 120 164 170 290 318 320 348 468 474 518 608 624 638	-667596678006
TPT(14)	825717422190669731	0 2 6 8 60 62 126 128 156 158 240 242 270 272	-260606838828
SPT(16)	825717745485311011	0 16 28 46 48 60 90 142 186 238 268 280 282 300 312 328	62687802452
STPT(10)	825717757181083307	0 2 30 32 72 74 114 116 144 146	74383574748
TPT(14)	825717899948668019	0 2 60 62 102 104 150 152 168 170 198 200 228 230	217151159460
STPT(10)	825718462424317211	0 2 36 38 78 80 120 122 156 158	779626808652
STPT(10)	825718706310516827	0 2 12 14 42 44 72 74 84 86	1023513008268