Prime p₀= 2556376278849289019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Penguin
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2556374564475587941	0 12 18 70 78 96 108 172 186 250 262 280 288 340 346 358	-1714373701078
STPT(10)	2556374928939641987	0 2 90 92 102 104 114 116 204 206	-1349909647032
STPT(10)	2556375390604341671	0 2 30 32 78 80 126 128 156 158	-888244947348
SPT(16)	2556375480758284303	0 4 24 28 34 66 70 88 96 114 118 150 156 160 180 184	-798091004716
SPT(16)	2556375839969396801	0 2 30 68 110 116 156 170 198 212 252 258 300 338 366 368	-438879892218
SPT(16)	2556376146984290327	0 12 42 86 120 126 134 140 156 162 170 176 210 254 284 296	-131864998692
SPT(16)	2556376338744874039	0 10 18 28 52 58 88 94 108 114 144 150 174 184 192 202	59895585020
SPT(16)	2556376373956534973	0 8 30 68 90 104 180 204 314 338 414 428 450 488 510 518	95107245954
STPT(10)	2556376856389389347	0 2 30 32 72 74 114 116 144 146	577540100328
SPT(16)	2556376977032365391	0 62 72 168 170 198 216 218 240 242 260 288 290 386 396 458	698183076372
STPT(10)	2556377489037219191	0 2 36 38 78 80 120 122 156 158	1210187930172