Prime p₀= 2979952966097896739 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=82, k=10, 2 16 2 10 2

SPT(16)	2979951520734018167	0 36 72 80 86 96 102 116 120 134 140 150 156 164 200 236	-1445363878572
TPT(14)	2979951561290253887	0 2 54 56 84 86 162 164 192 194 210 212 240 242	-1404807642852
STPT(10)	2979951997551391649	0 2 48 50 90 92 132 134 180 182	-968546505090
SPT(16)	2979952155908644187	0 14 24 32 36 50 60 66 110 116 126 140 144 152 162 176	-810189252552
SPT(16)	2979952267981915469	0 20 38 80 90 122 162 168 242 248 288 320 330 372 390 410	-698115981270
STPT(10)	2979952887773949551	0 2 36 38 78 80 120 122 156 158	-78323947188
STPT(10)	2979952980129191159	0 2 18 20 30 32 42 44 60 62	14031294420
SPT(16)	2979954469276945031	0 26 56 78 110 146 156 198 200 242 252 288 320 342 372 398	1503179048292
STPT(10)	2979954495319098917	0 2 42 44 72 74 102 104 144 146	1529221202178
SPT(16)	2979954617956727563	0 6 18 40 120 126 144 154 270 280 298 304 384 406 418 424	1651858830824
SPT(16)	2979954828267306139	0 22 34 70 84 90 132 160 204 232 274 280 294 330 342 364	1862169409400