Prime p₀= 1364873575171125359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: JonS
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1364871708422135233	0 6 34 48 160 168 190 204 220 234 256 264 376 390 418 424	-1866748990126
STPT(10)	1364871823660023947	0 2 30 32 72 74 114 116 144 146	-1751511101412
STPT(10)	1364872574648309717	0 2 12 14 42 44 72 74 84 86	-1000522815642
SPT(16)	1364872966452305143	0 4 36 40 88 100 108 126 208 226 234 246 294 298 330 334	-608718820216
STPT(10)	1364873028211548671	0 2 6 8 48 50 90 92 96 98	-546959576688
STPT(10)	1364873379028496537	0 2 54 56 72 74 90 92 144 146	-196142628822
SPT(16)	1364873624251345807	0 16 30 82 106 114 154 196 240 282 322 330 354 406 420 436	49080220448
STPT(10)	1364873820956284589	0 2 18 20 30 32 42 44 60 62	245785159230
STPT(10)	1364874057773741477	0 2 30 32 42 44 54 56 84 86	482602616118
SPT(16)	1364874257591751311	0 48 66 80 132 150 168 182 276 290 308 326 378 392 410 458	682420625952
SPT(16)	1364874605186318257	0 52 100 126 154 204 264 274 282 292 352 402 430 456 504 556	1030015192898