Prime p₀= 2561998408967685767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 58 2 40 2

SPT(18)	2561997489904333391	0 8 30 42 66 98 120 128 138 140 150 158 180 212 236 248 270 278	-919063352376
SPT(16)	2561997973107655657	0 4 22 40 46 72 84 100 126 142 154 180 186 204 222 226	-435860030110
SPT(16)	2561998136780103607	0 22 24 46 70 102 124 126 130 132 154 186 210 232 234 256	-272187582160
TPT(16)	2561998249829194871	0 2 6 8 48 50 90 92 120 122 156 158 168 170 246 248	-159138490896
TPT(14)	2561998266163533737	0 2 12 14 114 116 180 182 204 206 234 236 324 326	-142804152030
SPT(16)	2561998349499103589	0 32 42 90 104 110 138 144 218 224 252 258 272 320 330 362	-59468582178
STPT(10)	2561998830808510967	0 2 30 32 42 44 54 56 84 86	421840825200
SPT(16)	2561999027916166571	0 12 42 78 110 140 210 260 318 368 438 468 500 536 566 578	618948480804
SPT(16)	2561999075643382561	0 18 40 42 102 106 142 148 180 186 222 226 286 288 310 328	666675696794
STPT(10)	2561999241901072451	0 2 30 32 78 80 126 128 156 158	832933386684
SPT(16)	2561999412137377097	0 12 14 20 44 56 114 132 194 212 270 282 306 312 314 326	1003169691330