Prime p₀= 1137780658712213039 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(12)	1137779521368145259	0 2 30 32 42 44 48 50 60 62 90 92	-1137344067780
SPT(16)	1137779615664572591	0 12 50 62 78 128 132 140 210 218 222 272 288 300 338 350	-1043047640448
SPT(16)	1137779903402475107	0 42 62 80 104 110 120 162 164 206 216 222 246 264 284 326	-755309737932
SPT(16)	1137780006379999159	0 48 52 58 90 100 102 108 154 160 162 172 204 210 214 262	-652332213880
STPT(10)	1137780214677487817	0 2 60 62 102 104 144 146 204 206	-444034725222
STPT(10)	1137780568072622207	0 2 30 32 42 44 54 56 84 86	-90639590832
STPT(10)	1137780731094959069	0 2 18 20 30 32 42 44 60 62	72382746030
SPT(16)	1137780779511495619	0 24 40 42 58 70 90 100 132 142 162 174 190 192 208 232	120799282580
TPT(14)	1137780877708379291	0 2 6 8 90 92 126 128 156 158 186 188 228 230	218996166252
STPT(10)	1137780987386510177	0 2 12 14 42 44 72 74 84 86	328674297138
TPT(14)	1137781109645326877	0 2 12 14 42 44 90 92 150 152 162 164 174 176	450933113838