Prime p₀= 2556441751603736597 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)	2556440042697690497	0 56 104 132 134 140 150 152 174 176 186 192 194 222 270 326	-1708906046100
SPT(16)	2556440074075948447	0 34 60 72 84 102 106 156 160 210 214 232 244 256 282 316	-1677527788150
STPT(10)	2556440101170823487	0 2 42 44 72 74 102 104 144 146	-1650432913110
STPT(10)	2556440729386776059	0 2 42 44 60 62 78 80 120 122	-1022216960538
SPT(16)	2556441177435960169	0 12 18 40 42 64 70 84 88 102 108 130 132 154 160 172	-574167776428
SPT(16)	2556441734369651719	0 24 64 78 100 108 112 148 294 330 334 342 364 378 418 442	-17234084878
SPT(16)	2556441944222859767	0 62 74 84 86 104 120 140 216 236 252 270 272 282 294 356	192619123170
SPT(16)	2556441994335381337	0 70 94 150 154 160 202 204 280 282 324 330 334 390 414 484	242731644740
STPT(10)	2556442250903042399	0 2 18 20 60 62 102 104 120 122	499299305802
TPT(14)	2556442398717178379	0 2 42 44 78 80 132 134 168 170 258 260 282 284	647113441782
TPT(14)	2556442573726162859	0 2 12 14 48 50 90 92 108 110 150 152 192 194	822122426262