Prime p₀= 2350026408812297357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Landjunge
db: batch=81, k=10, 2 28 2 70 2

STPT(10)	2350025807783035409	0 2 18 20 30 32 42 44 60 62	-601029261948
SPT(16)	2350025822140061851	0 16 30 52 60 106 130 136 162 168 192 238 246 268 282 298	-586672235506
SPT(16)	2350025872270224427	0 10 66 112 136 142 166 196 210 240 264 270 294 340 396 406	-536542072930
SPT(16)	2350025890407188831	0 18 36 48 60 90 138 146 180 188 236 266 278 290 308 326	-518405108526
STPT(10)	2350026058375072277	0 2 30 32 72 74 114 116 144 146	-350437225080
STPT(10)	2350026185199823211	0 2 6 8 48 50 90 92 96 98	-223612474146
SPT(16)	2350026434082875683	0 16 18 28 36 48 106 120 154 168 226 238 246 256 258 274	25270578326
STPT(10)	2350026662602576721	0 2 30 32 78 80 126 128 156 158	253790279364
SPT(16)	2350026710162628671	0 18 48 110 116 146 150 168 338 356 360 390 396 458 488 506	301350331314
SPT(16)	2350026842752055923	0 16 36 46 54 60 96 126 184 214 250 256 264 274 294 310	433939758566
STPT(10)	2350027461266388749	0 2 18 20 30 32 42 44 60 62	1052454091392