Prime p₀= 1235131686917861657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: xii5ku
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1235130952047524027	0 2 60 62 72 74 84 86 144 146	-734870337630
STPT(10)	1235130962033475971	0 2 36 38 78 80 120 122 156 158	-724884385686
TPT(14)	1235131065204071237	0 2 24 26 42 44 54 56 72 74 102 104 114 116	-621713790420
SPT(16)	1235131336173599483	0 14 20 38 56 90 98 104 150 156 164 198 216 234 240 254	-350744262174
STPT(10)	1235131451417740337	0 2 24 26 42 44 60 62 84 86	-235500121320
SPT(16)	1235131621899950191	0 58 120 132 138 148 180 208 240 268 300 310 316 328 390 448	-65017911466
SPT(16)	1235132078569467121	0 16 40 42 46 66 82 108 130 156 172 192 196 198 222 238	391651605464
TPT(14)	1235132120390332907	0 2 30 32 72 74 84 86 120 122 210 212 222 224	433472471250
STPT(10)	1235132594269735937	0 2 12 14 42 44 72 74 84 86	907351874280
SPT(16)	1235132829254870951	0 32 42 96 98 108 126 152 186 212 230 240 242 296 306 338	1142337009294
STPT(12)	1235133178626244277	0 2 72 74 84 86 120 122 132 134 204 206	1491708382620