Prime p₀= 2513580246229346027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Hightower
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2513579373886369049	0 2 18 20 30 32 42 44 60 62	-872342976978
STPT(10)	2513579585079936431	0 2 36 38 78 80 120 122 156 158	-661149409596
STPT(10)	2513579643383500619	0 2 48 50 90 92 132 134 180 182	-602845845408
SPT(16)	2513579651929473697	0 36 42 66 70 124 136 150 166 180 192 246 250 274 280 316	-594299872330
STPT(10)	2513579800213073507	0 2 24 26 42 44 60 62 84 86	-446016272520
STPT(10)	2513579859763149509	0 2 12 14 90 92 168 170 180 182	-386466196518
STPT(10)	2513580362154324011	0 2 6 8 48 50 90 92 96 98	115924977984
SPT(16)	2513580433889766391	0 10 12 22 36 40 66 72 106 112 138 142 156 166 168 178	187660420364
SPT(16)	2513580757353755371	0 72 112 132 148 162 198 232 288 322 358 372 388 408 448 520	511124409344
STPT(10)	2513580960709438547	0 2 30 32 72 74 114 116 144 146	714480092520
SPT(16)	2513581329456693193	0 40 60 64 78 88 90 96 118 124 126 136 150 154 174 214	1083227347166