Prime p₀= 2168631718863340499 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: eclipse99
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2168630567140270991	0 2 6 8 18 20 30 32 36 38	-1151723069508
TPT(14)	2168630678357319089	0 2 18 20 42 44 102 104 210 212 222 224 240 242	-1040506021410
SPT(16)	2168631276264849161	0 20 42 96 110 132 150 156 206 212 230 252 266 320 342 362	-442598491338
STPT(10)	2168631339595883579	0 2 18 20 30 32 42 44 60 62	-379267456920
SPT(16)	2168631480763097201	0 42 78 90 120 192 230 242 276 288 326 398 428 440 476 518	-238100243298
TPT(14)	2168631573180714527	0 2 42 44 114 116 222 224 252 254 420 422 504 506	-145682625972
SPT(16)	2168631941814867241	0 10 40 58 100 126 136 166 282 312 322 348 390 408 438 448	222951526742
SPT(16)	2168631973565780743	0 10 16 48 118 130 144 174 220 250 264 276 346 378 384 394	254702440244
STPT(10)	2168631989618021897	0 2 12 14 72 74 132 134 144 146	270754681398
STPT(10)	2168632362071054849	0 2 12 14 30 32 48 50 60 62	643207714350
SPT(18)	2168632646584650221	0 42 68 86 120 128 132 138 152 156 170 176 180 188 222 240 266 308	927721309722