Prime p₀= 2561646614663042897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: conf [MM]
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2561643378964663291	0 12 16 30 36 42 46 148 180 282 286 292 298 312 316 328	-3235698379606
SPT(16)	2561644271649672217	0 10 22 42 82 106 130 136 156 162 186 210 250 270 282 292	-2343013370680
SPT(16)	2561644464927309851	0 12 36 78 102 150 168 176 192 200 218 266 290 332 356 368	-2149735733046
STPT(10)	2561646096759559217	0 2 42 44 72 74 102 104 144 146	-517903483680
SPT(16)	2561646372629166287	0 36 44 54 80 90 170 176 210 216 296 306 332 342 350 386	-242033876610
SPT(16)	2561646539914853341	0 12 40 46 52 58 60 96 172 208 210 216 222 228 256 268	-74748189556
TPT(14)	2561646688226738027	0 2 12 14 60 62 180 182 192 194 210 212 324 326	73563695130
SPT(16)	2561646805113794911	0 10 22 106 148 160 162 196 252 286 288 300 342 426 438 448	190450752014
SPT(18)	2561647296648802387	0 36 64 70 72 100 106 180 204 232 256 330 336 364 366 372 400 436	681985759490
SPT(16)	2561647469583770749	0 10 18 82 124 130 150 154 168 172 192 198 240 304 312 322	854920727852
SPT(16)	2561647516113509687	0 12 30 90 92 152 164 182 204 222 234 294 296 356 374 386	901450466790