Prime p₀= 2723076486988527557 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2723075612537995997	0 2 42 44 72 74 102 104 144 146	-874450531560
STPT(10)	2723075648526641459	0 2 18 20 30 32 42 44 60 62	-838461886098
STPT(10)	2723075712381297587	0 2 30 32 42 44 54 56 84 86	-774607229970
TPT(14)	2723075867527980299	0 2 18 20 60 62 102 104 150 152 192 194 252 254	-619460547258
SPT(16)	2723075969280533299	0 24 60 70 82 112 142 154 168 180 210 240 252 262 298 322	-517707994258
STPT(10)	2723076437021818487	0 2 30 32 42 44 54 56 84 86	-49966709070
STPT(10)	2723076705929063831	0 2 6 8 48 50 90 92 96 98	218940536274
SPT(18)	2723076739730542043	0 14 90 146 156 158 168 170 210 314 354 356 366 368 378 434 510 524	252742014486
SPT(16)	2723076786667452161	0 18 20 36 116 150 200 228 248 276 326 360 440 456 458 476	299678924604
TPT(14)	2723077024966054061	0 2 6 8 30 32 138 140 156 158 180 182 240 242	537977526504
SPT(16)	2723077093714252553	0 6 14 38 50 56 104 108 116 120 168 174 186 210 218 224	606725724996