Prime p₀= 1266918933542021729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Megacruncher
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1266918368326533667	0 6 34 42 64 76 84 90 136 142 150 162 184 192 220 226	-565215488062
STPT(10)	1266918378766101959	0 2 18 20 60 62 102 104 120 122	-554775919770
TPT(14)	1266918564216022481	0 2 30 32 78 80 150 152 306 308 348 350 450 452	-369325999248
STPT(10)	1266918596978558141	0 2 36 38 78 80 120 122 156 158	-336563463588
SPT(16)	1266918644387708009	0 54 62 74 78 92 98 120 122 144 150 164 168 180 188 242	-289154313720
SPT(16)	1266918858939287467	0 6 12 34 42 64 72 90 106 124 132 154 162 184 190 196	-74602734262
STPT(10)	1266918938864873687	0 2 30 32 42 44 54 56 84 86	5322851958
SPT(18)	1266919025485147351	0 22 52 78 88 132 160 168 202 228 262 270 298 342 352 378 408 430	91943125622
STPT(10)	1266919106135030399	0 2 18 20 30 32 42 44 60 62	172593008670
STPT(10)	1266920394133572557	0 2 30 32 42 44 54 56 84 86	1460591550828
SPT(16)	1266920482642616023	0 4 76 118 120 126 148 154 180 186 208 214 216 258 330 334	1549100594294