Prime p₀= 1910782875725564567 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: gemini8
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	1910780551504233139	0 70 78 112 120 132 142 154 198 210 220 232 240 274 282 352	-2324221331428
SPT(16)	1910781288128467813	0 36 58 60 70 100 108 126 130 148 156 186 196 198 220 256	-1587597096754
SPT(16)	1910781512662918081	0 18 28 36 118 132 162 172 186 196 226 240 322 330 340 358	-1363062646486
STPT(10)	1910781644170835279	0 2 18 20 30 32 42 44 60 62	-1231554729288
SPT(16)	1910781973737026759	0 18 20 32 78 90 92 98 102 108 110 122 168 180 182 200	-901988537808
STPT(10)	1910782012560617891	0 2 30 32 60 62 90 92 120 122	-863164946676
STPT(10)	1910783167646529887	0 2 60 62 72 74 84 86 144 146	291920965320
STPT(10)	1910783484838366667	0 2 12 14 42 44 72 74 84 86	609112802100
SPT(16)	1910783700819072977	0 60 84 140 144 176 182 234 242 294 300 332 336 392 416 476	825093508410
SPT(16)	1910783711194646747	0 20 42 72 92 132 134 162 194 222 224 264 284 314 336 356	835469082180
STPT(10)	1910783878508716481	0 2 6 8 48 50 90 92 96 98	1002783151914