Prime p₀= 2116182973415464799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: ChUcK
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2116180995505162897	0 10 34 90 94 154 190 210 286 306 342 402 406 462 486 496	-1977910301902
STPT(10)	2116181020762138739	0 2 48 50 90 92 132 134 180 182	-1952653326060
SPT(16)	2116181453027899373	0 6 50 54 90 114 120 156 158 194 200 224 260 264 308 314	-1520387565426
SPT(16)	2116182238502679301	0 10 30 76 108 136 198 286 300 388 450 478 510 556 576 586	-734912785498
STPT(10)	2116182497275207721	0 2 6 8 48 50 90 92 96 98	-476140257078
SPT(16)	2116182870951637547	0 24 36 42 54 56 66 132 224 290 300 302 314 320 332 356	-102463827252
STPT(10)	2116184115798034619	0 2 78 80 120 122 162 164 240 242	1142382569820
SPT(16)	2116184259803962423	0 40 66 108 124 150 154 216 238 300 304 330 346 388 414 454	1286388497624
SPT(16)	2116184313186215647	0 40 64 70 72 84 112 114 172 174 202 214 216 222 246 286	1339770750848
STPT(10)	2116184575427075927	0 2 12 14 72 74 132 134 144 146	1602011611128
SPT(16)	2116184595822777751	0 12 36 60 82 88 166 172 186 192 270 276 298 322 346 358	1622407312952