Prime p₀= 2729659245263878199 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2729658376565405819	0 2 78 80 162 164 198 200 240 242 282 284 288 290	-868698472380
SPT(16)	2729658628589942143	0 34 58 64 84 96 124 136 138 150 178 190 210 216 240 274	-616673936056
STPT(10)	2729659052851926731	0 2 6 8 48 50 90 92 96 98	-192411951468
SPT(16)	2729659107183290717	0 2 12 24 26 42 66 96 110 140 164 180 182 194 204 206	-138080587482
STPT(10)	2729659108869087971	0 2 36 38 78 80 120 122 156 158	-136394790228
STPT(10)	2729659192181958737	0 2 30 32 42 44 54 56 84 86	-53081919462
STPT(10)	2729659419476867201	0 2 30 32 78 80 126 128 156 158	174212989002
SPT(16)	2729659454857847437	0 6 30 46 52 72 126 160 186 220 274 294 300 316 340 346	209593969238
STPT(10)	2729659819574251379	0 2 12 14 30 32 48 50 60 62	574310373180
TPT(14)	2729659906450785569	0 2 48 50 60 62 72 74 132 134 162 164 198 200	661186907370
SPT(16)	2729660127929200061	0 12 32 50 56 98 102 138 140 176 180 222 228 246 266 278	882665321862