Prime p₀= 2786412757556804417 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2786412014683822351	0 12 22 46 156 166 180 246 256 322 336 346 456 480 490 502	-742872982066
SPT(16)	2786412044502166739	0 24 60 80 84 98 120 150 152 182 204 218 222 242 278 302	-713054637678
STPT(10)	2786412059813717897	0 2 42 44 72 74 102 104 144 146	-697743086520
STPT(10)	2786412209176690181	0 2 6 8 48 50 90 92 96 98	-548380114236
STPT(10)	2786412573667081757	0 2 30 32 72 74 114 116 144 146	-183889722660
STPT(10)	2786412724902279959	0 2 48 50 90 92 132 134 180 182	-32654524458
STPT(10)	2786413048990544591	0 2 36 38 78 80 120 122 156 158	291433740174
STPT(10)	2786413053187560497	0 2 30 32 42 44 54 56 84 86	295630756080
STPT(10)	2786413486191054779	0 2 12 14 90 92 168 170 180 182	728634250362
STPT(10)	2786413569153090827	0 2 30 32 42 44 54 56 84 86	811596286410
SPT(16)	2786413628421817027	0 40 54 124 166 174 226 244 252 270 322 330 372 442 456 496	870865012610