Prime p₀= 1013422464815881829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1013421430651173389	0 2 18 20 30 32 42 44 60 62	-1034164708440
SPT(16)	1013421568627909123	0 60 100 118 154 168 174 198 226 250 256 270 306 324 364 424	-896187972706
SPT(16)	1013421759760023619	0 12 18 40 52 102 148 168 172 192 238 288 300 322 328 340	-705055858210
SPT(16)	1013421766903610399	0 14 24 62 98 104 110 128 234 252 258 264 300 338 348 362	-697912271430
STPT(10)	1013421962990575517	0 2 30 32 42 44 54 56 84 86	-501825306312
SPT(16)	1013422140208169371	0 40 106 120 138 150 210 276 322 388 448 460 478 492 558 598	-324607712458
SPT(16)	1013422728177669727	0 24 30 82 102 114 136 184 192 240 262 274 294 346 352 376	263361787898
SPT(16)	1013422849530127453	0 54 58 114 138 160 180 190 258 268 288 310 334 390 394 448	384714245624
STPT(10)	1013422902350713079	0 2 30 32 120 122 210 212 240 242	437534831250
SPT(16)	1013423153753784671	0 36 60 78 98 102 120 122 126 128 146 150 170 188 212 248	688937902842
SPT(16)	1013423249077769941	0 52 90 168 192 222 232 250 258 276 286 316 340 418 456 508	784261888112