Prime p₀= 816493346836858037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG]FX
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	816491867023247939	0 2 18 20 30 32 42 44 60 62	-1479813610098
SPT(16)	816492247203459049	0 42 90 112 150 168 178 198 214 234 244 262 300 322 370 412	-1099633398988
SPT(16)	816492678952986779	0 44 78 90 102 120 122 164 168 210 212 230 242 254 288 332	-667883871258
TPT(14)	816492685207148921	0 2 30 32 108 110 138 140 228 230 240 242 270 272	-661629709116
SPT(16)	816493000517890793	0 38 44 66 104 108 168 174 230 236 296 300 338 360 366 404	-346318967244
SPT(18)	816493303347609257	0 42 44 54 60 86 126 132 140 186 194 200 240 266 272 282 284 326	-43489248780
STPT(10)	816493636767722621	0 2 36 38 78 80 120 122 156 158	289930864584
STPT(10)	816493643310354377	0 2 30 32 42 44 54 56 84 86	296473496340
SPT(16)	816493747494679159	0 12 34 48 54 58 70 94 138 162 174 178 184 198 220 232	400657821122
SPT(16)	816493809471739031	0 50 68 98 128 132 152 162 188 198 218 222 252 282 300 350	462634880994
SPT(16)	816494301921898043	0 8 14 30 98 104 114 230 234 350 360 366 434 450 456 464	955085040006