Prime p₀= 927678935683828397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: crashtech
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	927677439663556409	0 2 42 44 60 62 78 80 120 122	-1496020271988
SPT(13)	927677487135086881	0 12 18 42 78 102 120 138 162 198 222 228 240	-1448548741516
STPT(10)	927677657533213787	0 2 12 14 72 74 132 134 144 146	-1278150614610
SPT(16)	927678050235081787	0 24 52 64 66 82 94 124 162 192 204 220 222 234 262 286	-885448746610
SPT(16)	927678517985193361	0 10 48 52 70 100 102 136 252 286 288 318 336 340 378 388	-417698635036
STPT(10)	927678532440028637	0 2 30 32 72 74 114 116 144 146	-403243799760
SPT(16)	927679051482712813	0 16 144 148 180 186 190 196 198 204 208 214 246 250 378 394	115798884416
STPT(12)	927679220583750599	0 2 30 32 72 74 108 110 150 152 180 182	284899922202
SPT(16)	927679223635119581	0 8 42 62 86 110 126 132 176 182 198 222 246 266 300 308	287951291184
STPT(10)	927679750829788907	0 2 30 32 42 44 54 56 84 86	815145960510
SPT(16)	927679844965585321	0 12 60 70 78 96 106 120 148 162 172 190 198 208 256 268	909281756924